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@article {Hahn,
    AUTHOR = {Hahn, H.},
     TITLE = {On classical groups detected by the triple tensor product and
              the {L}ittlewood--{R}ichardson semigroup},
   JOURNAL = {Res. Number Theory},
  FJOURNAL = {Research in Number Theory},
    VOLUME = {2},
      YEAR = {2016},
     PAGES = {Paper No. 19, 12},
   MRCLASS = {20G05 (11F70)},
  MRNUMBER = {3553350},
MRREVIEWER = {Sangjib Kim},
}

@article {Klein,
    AUTHOR = {Klein, T.},
     TITLE = {The multiplication of {S}chur-functions and extensions of
              {$p$}-modules},
   JOURNAL = {J. London Math. Soc.},
  FJOURNAL = {The Journal of the London Mathematical Society},
    VOLUME = {43},
      YEAR = {1968},
     PAGES = {280--284},
   MRCLASS = {13.40},
  MRNUMBER = {228481},
MRREVIEWER = {Robert Gilmer},
}

@article{RS2,
	author = {Rhoades, B. and Skandera, M.},
	date-added = {2021-11-10 12:51:41 -0600},
	date-modified = {2021-11-10 12:52:32 -0600},
	journal = {J. Algebra},
	number = {2},
	pages = {793--811},
	title = {Kazhdan-Lusztig immanants and products of matrix minors.},
	volume = {304},
	year = {2006}}

@article{RS1,
	author = {Rhoades, B. and Skandera, M.},
	date-added = {2021-11-10 12:50:37 -0600},
	date-modified = {2021-11-10 12:51:35 -0600},
	journal = {Ann. Comb.},
	number = {4},
	pages = {451--494},
	title = {Temperley-Lieb immanants.},
	year = {2005}}

@article{Kleber,
	author = {Kleber, M.},
	date-added = {2021-11-10 12:47:48 -0600},
	date-modified = {2021-11-10 12:55:53 -0600},
	journal = {Electron. J. Combin. },
	number = {1},
	pages = {Research Paper 39, 8pp.},
	title = {Linearly independent products of rectangularly complementary Schur functions.},
	volume = {9},
	year = {2002}}

@article{Mulmuley,
	author = {Mulmuley, K. D. and Narayanan, H. and Sohoni, M.},
	date-added = {2021-11-10 12:42:15 -0600},
	date-modified = {2021-11-10 12:43:52 -0600},
	journal = {J. Algebraic Combin.},
	volume = {36},
	number = {1},
	pages = {103--110},
	title = {Geometric complexity theory III: on deciding nonvanishing of a Littlewood--{R}ichardson coefficient},
	year = {2012}}

@book{Littlewoodbook,
	address = {Providence, RI},
	author = {Littlewood, D. E.},
	date-added = {2021-11-10 12:01:52 -0600},
	date-modified = {2021-11-10 12:04:40 -0600},
	note = {Reprint of the second edition (1950)},
	pages = {viii+314},
	publisher = {MAS Chelsea Publishing},
	title = {The theory of group characters and matrix representations of groups.},
	year = {2006},
	Bdsk-Url-1 = {https://doi-org.docelec.univ-lyon1.fr/10.4153/CJM-1958-002-7},
	Bdsk-Url-2 = {https://doi.org/10.4153/CJM-1958-002-7}}

@article{BZ,
	author = {Berenstein, A. and Zelevinsky, A.},
	date-added = {2021-11-10 11:55:05 -0600},
	date-modified = {2021-11-10 11:56:17 -0600},
	journal = {Invent. Math.},
	volume = {143},
	number = {1},
	pages = {77--128},
	title = {Tensor product multiplicities, canonical bases and totally positive varieties.},
	year = {2001}}

@book{Barcelo.Ram,
	address = {Cambridge},
	author = {Barcelo, H. and Ram, A.},
	date-added = {2021-11-10 11:47:20 -0600},
	date-modified = {2021-11-10 12:53:05 -0600},
	note = {New perspectives in algebraic combinatorics (Berkeley, CA, 1996-97)},
	number = {38},
	pages = {23--90},
	publisher = {Cambridge University Press},
	series = {Math. Sci. Res. Inst. Publ.},
	title = {Combinatorial representation theory.},
	year = {1997}}

@book{King,
	address = {Providence, RI},
	author = {King, R. C. and Tollu, C. and Toumazet, F.},
	date-added = {2021-11-10 11:36:19 -0600},
	date-modified = {2021-11-10 11:40:46 -0600},
	number = {34},
	pages = {99--112},
	publisher = {Amer. Math. Soc.},
	series = {Symmetry in physics},
	title = {Streched Littlewood-Richardson and Kostka coefficients.},
	year = {2004}}

@book{Kumar2010,
	address = {New Delhi},
	author = {Kumar, S.},
	date-added = {2021-11-10 11:24:37 -0600},
	date-modified = {2021-11-10 12:56:36 -0600},
	pages = {1226--1261},
	publisher = {Hindustan Book Agency},
	series = {Proceedings of the International Congress of Mathematicians},
	title = {Tensor product decomposition.},
	volume = {III},
	year = {2010}}

@book{ECII,
	address = {Cambridge},
	author = {Stanley, R. P.},
	date-added = {2021-11-09 20:20:50 -0600},
	date-modified = {2021-11-09 20:23:20 -0600},
	note = {With a foreword by Gian-Carlo Rota and Appendix 1 by Sergey Fomin},
	number = {62},
	publisher = {Cambridge University Press},
	series = {Cambridge Studies in Advanced Mathematics},
	title = {Enumerative Combinatorics},
	volume = {2},
	year = {1999}}

@article{Kwon,
	author = {Kwon, J.},
	date-added = {2021-11-09 19:49:29 -0600},
	date-modified = {2021-11-09 19:51:32 -0600},
	journal = {Trans. Amer. Math. Soc.},
	number = {9},
	pages = {6125--6152},
	title = {Combinatorial extension of stable branching rules for classical groups},
	volume = {370},
	year = {2018}}

@article{KTW,
	author = {Knutson, A. and Tao, T. and Woodward, C.},
	date-added = {2021-11-09 18:56:23 -0600},
	date-modified = {2021-11-09 18:58:22 -0600},
	fjournal = {Journal of the American Mathematical Society},
	journal = {J. Amer. Math. Soc.},
	number = {1},
	pages = {19--48},
	title = {The honeycomb model of {${\rm GL}\sb n({{\mathbb C}})$} tensor products. {II}. {P}uzzles determine facets of the Littlewood-Richardson cone.},
	volume={17},
	year = {2004}}

@article{King75,
	author = {King, R. C.},
	date-added = {2021-11-09 18:47:45 -0600},
	date-modified = {2021-11-09 18:48:31 -0600},
	journal = {J. Phys. A},
	number = {8},
	pages = {429--449},
	title = {Branching rules for classical Lie groups using tensor and spinor methods.},
	year = {1975}}

@article{King70,
	author = {King, R. C.},
	date-added = {2021-11-09 18:46:29 -0600},
	date-modified = {2021-11-09 18:47:40 -0600},
	journal = {J. Mathematical Phys.},
	number = {12},
	pages = {1588--1598},
	title = {Modification rules and products of irreducible representations of the unitary, orthogonal, and symplectic groups.},
	year = {1971}}

@article{FominPoon,
	author = {Fomin, S. and Fulton, W. and Li, C. and Poon, Y.},
	date-added = {2021-11-09 18:34:18 -0600},
	date-modified = {2021-11-10 12:54:46 -0600},
	journal = {Amer. J. Math.},
	number = {1},
	pages = {101--127},
	title = {Eigenvalues, singular values, and Littlewood-Richardson coefficients.},
	volume = {127},
	year = {2005}}

@article{Okounkov,
	author = {Okounkov, A.},
	date-added = {2021-11-09 18:29:59 -0600},
	date-modified = {2021-11-09 18:32:57 -0600},
	journal = {Adv. Math.},
	number = {2},
	pages = {258--282},
	title = {Log-concavity of multiplicities with application to chatacters of $U(\infty)$},
	volume = {127},
	year = {1997}}

@article{DW:poly,
	author = {Derksen, H. and Weyman, J.},
	date-added = {2021-11-09 18:22:16 -0600},
	date-modified = {2021-11-10 12:54:33 -0600},
	journal = {J. Algebra},
	number = {2},
	pages = {247--257},
	title = {On the Littlewood-Richardson polynomials.},
	year = {2002}}

@article{AJM,
	author = {Lam, T. and Postnikov, A. and Pylyavskyy, P.},
	date-added = {2021-11-09 16:58:58 -0600},
	date-modified = {2021-11-10 12:56:52 -0600},
	fjournal = {American Journal of Mathematics},
	journal = {Amer. J. Math.},
	number = {6},
	pages = {1611--1622},
	title = {Schur positivity and Schur log-concavity.},
	volume = {129},
	year = {2007}}

@misc{StrechedNL,
	author = {King, R. C.},
	eprint = {2101.00984},
	eprinttype = {arxiv},
	title = {Stretched Newell--{L}ittlewood coefficients.},
	year = {2021}}

@misc{GORY,
	author = {Gao, S. and Orelowitz, G. and Ressayre, N. and Yong, A.},
	eprint = {2107.03152},
	eprinttype = {arxiv},
	title = {Newell-Littlewood numbers III: eigencones and GIT-semigroups.},
	year = {2021}}

@article{Bhatia,
	author = {Bhatia, R.},
	date-added = {2021-11-02 11:20:33 -0500},
	date-modified = {2021-11-02 11:23:31 -0500},
	journal = {Amer. Math. Monthly},
	number = {4},
	pages = {289--318},
	title = {Linear algebra to quantum cohomology: the story of Alfred Horn's inequalities.},
	volume = {108},
	year = {2001}}

@misc{GOY2,
	author = {Gao, S. and Orelowitz, G. and Yong, A.},
	eprint = {2009.09904},
	eprinttype = {arxiv},
	title = {Newell--{L}ittlewood numbers {II}: extended {H}orn inequalities.},
	year = {2020}}

@article{GOY,
	author = {Gao, S. and Orelowitz, G. and Yong, A.},
	date-modified = {2021-11-10 12:55:10 -0600},
	journal = {Trans. Amer. Math. Soc.},
	volume={374},
	number = {9},
	pages = {6331--6366},
	title = {Newell--{L}ittlewood numbers.},
	year = {2021}}

@article{GITEigen,
	author = {Ressayre, N.},
	journal = {Invent. Math.},
	pages = {389--441},
	title = {Geometric Invariant Theory and Generalized Eigenvalue Problem},
	volume = 180,
	year = 2010}

@article{algo,
	author = {Ressayre, N.},
	doi = {10.1093/imrn/rnr180},
	journal = {Int. Math. Res. Not. IMRN},
	number = {21},
	pages = {4966--5005},
	title = {A cohomology-free description of eigencones in types {A}, {B}, and {C}},
	year = {2012},
	Bdsk-Url-1 = {https://doi-org.docelec.univ-lyon1.fr/10.1093/imrn/rnr180},
	Bdsk-Url-2 = {https://doi.org/10.1093/imrn/rnr180}}

@article{multi,
	author = {Ressayre, N.},
	date-added = {2012-08-20 11:40:48 +0000},
	date-modified = {2012-08-20 11:46:33 +0000},
	doi = {10.1016/j.indag.2011.08.004},
	fjournal = {Koninklijke Nederlandse Akademie van Wetenschappen. Indagationes Mathematicae. New Series},
	journal = {Indag. Math. (N.S.)},
	number = {1-2},
	pages = {87--102},
	title = {Multiplicative formulas in {S}chubert calculus and quiver representation},
	volume = {22},
	year = {2011},
	Bdsk-Url-1 = {http://dx.doi.org/10.1016/j.indag.2011.08.004}}

@article{Rich:mult,
	author = {Richmond, E.},
	date-added = {2016-12-13 07:47:25 +0000},
	date-modified = {2016-12-13 07:48:29 +0000},
	fjournal = {Michigan Mathematical Journal},
	journal = {Michigan Math. J.},
	number = {1},
	pages = {3--17},
	title = {A multiplicative formula for structure constants in the cohomology of flag varieties},
	volume = {61},
	year = {2012},
	Bdsk-Url-1 = {http://dx.doi.org/10.1307/mmj/1331222845}}

@article{BOR,
	author = {Briand, E. and Orellana, R. and Rosas, M.},
	doi = {10.37236/4808},
	journal = {The Electronic Journal of Combinatorics},
	month = {Jul},
	number = {3},
	publisher = {The Electronic Journal of Combinatorics},
	title = {Rectangular Symmetries for Coefficients of Symmetric Functions},
	volume = {22},
	year = {2015},
	Bdsk-Url-1 = {http://dx.doi.org/10.37236/4808}}

@book{FultonYT,
	address = {Cambridge},
	author = {Fulton, W.},
	subtitle = {With applications to representation theory and geometry},
	pages = {x+260},
	publisher = {Cambridge University Press},
	series = {London Mathematical Society Student Texts},
	title = {Young Tableaux},
	volume = {35},
	year = {1997}}

@book{Fulton.Harris,
	address = {New York},
	author = {Fulton, W. and Harris, J.},
	subtitle = {A first course, Readings in Mathematics},
	pages = {xvi+551},
	publisher = {Springer-Verlag},
	series = {Graduate Texts in Mathematics},
	title = {Representation Theory},
	volume = {129},
	year = {1991}}

@article{BK,
	author = {Belkale, P. and Kumar, S.},
	fjournal = {Inventiones Mathematicae},
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	title = {Eigenvalue problem and a new product in cohomology of flag varieties},
	volume = {166},
	year = {2006}}

@article{BSS,
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	doi = {10.1006/jcta.1996.0086},
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	volume = {76},
	year = {1996},
	Bdsk-Url-1 = {https://doi-org.docelec.univ-lyon1.fr/10.1006/jcta.1996.0086},
	Bdsk-Url-2 = {https://doi.org/10.1006/jcta.1996.0086}}

@book{Macdo,
	address = {New York},
	author = {Macdonald, I. G.},
	edition = {Second},
	note = {With contributions by {A}. {Z}elevinsky, {O}xford {S}cience {P}ublications},
	pages = {x+475},
	publisher = {The Clarendon Press Oxford University Press},
	series = {Oxford Mathematical Monographs},
	title = {Symmetric functions and {H}all polynomials},
	year = {1995}}

@article{Koike,
	author = {Koike, K. and Terada, I.},
	date-modified = {2021-11-10 12:56:46 -0600},
	fjournal = {Journal of Algebra},
	journal = {J. Algebra},
	number = {2},
	pages = {466--511},
	title = {Young-diagrammatic methods for the representation theory of the classical groups of type {$B_n,\;C_n,\;D_n$}.},
	volume = {107},
	year = {1987},
	Bdsk-Url-1 = {https://doi-org.docelec.univ-lyon1.fr/10.1016/0021-8693(87)90099-8},
	Bdsk-Url-2 = {https://doi.org/10.1016/0021-8693(87)90099-8}}

@article{Littlewood,
	author = {Littlewood, D. E.},
	date-modified = {2021-11-10 12:57:05 -0600},
	journal = {Canadian J. Math.},
	pages = {17--32},
	title = {Products and plethysms of characters with orthogonal, symplectic and symmetric groups.},
	volume = {10},
	year = {1958},
	Bdsk-Url-1 = {https://doi-org.docelec.univ-lyon1.fr/10.4153/CJM-1958-002-7},
	Bdsk-Url-2 = {https://doi.org/10.4153/CJM-1958-002-7}}

@article{Newell,
	author = {Newell, M. J.},
	date-modified = {2021-11-10 12:57:24 -0600},
	journal = {Proc. Roy. Irish Acad. Sect. A},
	pages = {153--163},
	title = {Modification rules for the orthogonal and symplectic groups.},
	volume = {54},
	year = {1951}}

@book{Weyl,
	author = {Weyl, H.},
	date-modified = {2021-11-10 12:58:42 -0600},
	mrclass = {01A75 (20-03 20Cxx 20Gxx 22-01)},
	mrnumber = {1488158},
	subtitle = {Their invariants and representations},
    note = {Fifteenth printing, Princeton Paperbacks},
	pages = {xiv+320},
	publisher = {Princeton University Press, Princeton, NJ},
	series = {Princeton Landmarks in Mathematics},
	title = {The Classical Groups},
	year = {1997}}

@article{Fulton:survey,
	author = {Fulton, W.},
	fjournal = {American Mathematical Society. Bulletin. New Series},
	journal = {Bull. Amer. Math. Soc. (N.S.)},
	number = {3},
	pages = {209--249},
	title = {Eigenvalues, invariant factors, highest weights, and {S}chubert calculus},
	volume = {37},
	year = {2000}}

@article{G10,
	author = {Gutschwager, C.},
	fjournal = {Annals of Combinatorics},
	journal = {Ann. Comb.},
	number = {3},
	pages = {339--353},
	title = {On multiplicity-free skew characters and the {S}chubert calculus},
	volume = {14},
	year = {2010}}

@article{Kumar:surveyEMS,
	author = {Kumar, S.},
	date-added = {2016-10-18 09:08:44 +0000},
	date-modified = {2016-10-18 09:09:53 +0000},
	fjournal = {European Mathematical Society. Newsletter},
	journal = {Eur. Math. Soc. Newsl.},
	pages = {20--27},
	title = {Additive eigenvalue problem},
	volume = {98},
	year = {2015},
	Bdsk-Url-1 = {http://www.ams.org/mathscinet-getitem?mr=3445186}}

@article{KT:saturation,
	author = {Knutson, A. and Tao, T.},
	date-modified = {2021-11-10 12:56:27 -0600},
	fjournal = {Journal of the American Mathematical Society},
	journal = {J. Amer. Math. Soc.},
	number = {4},
	pages = {1055--1090},
	title = {The honeycomb model of {${\rm GL}\sb n({{\mathbb C}})$} tensor products. {I}. {P}roof of the saturation conjecture.},
	volume = {12},
	year = {1999}}

@article{PRexample,
	author = {Pasquier, B. and Ressayre, N.},
	doi = {10.1080/10586458.2013.813746},
	fjournal = {Experimental Mathematics},
	journal = {Exp. Math.},
	number = {3},
	pages = {299--312},
	title = {The saturation property for branching rules---examples},
	volume = {22},
	year = {2013},
	Bdsk-Url-1 = {https://doi-org.docelec.univ-lyon1.fr/10.1080/10586458.2013.813746},
	Bdsk-Url-2 = {https://doi.org/10.1080/10586458.2013.813746}}

@misc{normaliz,
	author = {Bruns, W. and Ichim, B. and S\"oger, C. and von der Ohe, U.},
	howpublished = {Available at \texttt{https://www.normaliz.uni-osnabrueck.de}},
	title = {Normaliz. Algorithms for rational cones and affine monoids}}

@book{GIT,
	address = {New York},
	author = {Mumford, D. and Fogarty, J. and Kirwan, F.},
	date-modified = {2011-03-15 16:55:06 +0100},
	edition = {3d},
	publisher = {Springer Verlag},
	title = {Geometric Invariant Theory},
	year = {1994}}

@article{Roth:red,
	author = {Roth, M.},
	date-added = {2010-09-20 15:44:44 +0200},
	date-modified = {2012-07-17 12:07:58 +0000},
	journal = {Int. Math. Res. Not. IMRN},
	number = {18},
	pages = {4105--4134},
	title = {Reduction rules for {L}ittlewood--{R}ichardson coefficients},
	year = {2011},
	Bdsk-Url-1 = {http://arxiv.org/abs/1004.5133}}

@article{reduction,
	author = {Ressayre, N.},
	journal = {J. Lie Theory},
	number = {3},
	pages = {885--896},
	title = {Reductions for branching coefficients},
	volume = {31},
	year = {2021}}

@article{DW:comb,
	author = {Derksen, H. and Weyman, J.},
	date-modified = {2021-11-10 12:54:38 -0600},
	journal = {Ann. Inst. Fourier},
	number = {3},
	pages = {1061--1131},
	title = {The Combinatorics of quiver representations},
	volume = {61},
	year = {2011}}

@article{KTT:factorLR,
	author = {King, R. C. and Tollu, C. and Toumazet, F.},
	date-modified = {2021-11-10 12:55:23 -0600},
	fjournal = {Journal of Combinatorial Theory. Series A},
	journal = {J. Combin. Theory Ser. A},
	number = {2},
	pages = {314--333},
	title = {Factorisation of {L}ittlewood--{R}ichardson coefficients.},
	volume = {116},
	year = {2009}}

@incollection{Zel,
	author = {Zelevinsky, A.},
	booktitle = {New perspectives in algebraic combinatorics ({B}erkeley, {CA}, 1996--97)},
	date-modified = {2021-11-10 12:58:37 -0600},
	pages = {337--345},
	publisher = {Cambridge Univ. Press, Cambridge},
	series = {Math. Sci. Res. Inst. Publ.},
	title = {Littlewood--{R}ichardson semigroups.},
	volume = {38},
	year = {1999}}

@article{Klyachko,
	author = {Klyachko, A.},
	date-modified = {2021-11-10 12:56:02 -0600},
	fjournal = {Selecta Mathematica. New Series},
	journal = {Selecta Math. (N.S.)},
	number = {3},
	pages = {419--445},
	title = {Stable bundles, representation theory and {H}ermitian operators.},
	volume = {4},
	year = {1998}}

@article{Kumar:SurveyTransformation,
	author = {Kumar, S.},
	fjournal = {Transformation Groups},
	journal = {Transform. Groups},
	note = {With an appendix by M. Kapovich},
	number = {4},
	pages = {1051--1148},
	title = {A survey of the additive eigenvalue problem},
	volume = {19},
	year = {2014}}

@article{Heck,
	author = {Heckman, G. J.},
	fjournal = {Inventiones Mathematicae},
	journal = {Invent. Math.},
	number = {2},
	pages = {333--356},
	title = {Projections of orbits and asymptotic behavior of multiplicities for compact connected {L}ie groups},
	volume = {67},
	year = {1982}}

@article{BK:satoddorthsymp,
	author = {Belkale, P. and Kumar, S.},
	fjournal = {Journal of Algebraic Geometry},
	journal = {J. Algebraic Geom.},
	number = {2},
	pages = {199--242},
	title = {Eigencone, saturation and {H}orn problems for symplectic and odd orthogonal groups},
	volume = {19},
	year = {2010}}

@misc{programmation,
	author = {Gao, S. and Orelowitz, G. and Ressayre, N. and Yong, A.},
	howpublished = {\url{http://math.univ-lyon1.fr/~ressayre/Info/computedDatumNL.tar.gz}},
	title = {Sage programs and data on the {NL}-semigroup},
	year = {2021}}

@article {Stembridge,
    AUTHOR = {Stembridge, J.},
     TITLE = {Multiplicity-free products of {S}chur functions},
   JOURNAL = {Ann. Comb.},
  FJOURNAL = {Annals of Combinatorics},
    VOLUME = {5},
      YEAR = {2001},
    NUMBER = {2},
     PAGES = {113--121},
   MRCLASS = {05E05 (05E15 20G05)},
  MRNUMBER = {1904379},
MRREVIEWER = {Timothy Y. Chow},
}