% Encoding: UTF-8 @Article{K18-3, author = {J.-H. Kwon}, title = {Combinatorial extension of stable branching rules for classical groups}, doi = {10.1090/tran/7104}, pages = {6125--6152}, volume = {370}, fjournal = {TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY}, journal = {Trans. Amer. Math. Soc.}, year = {2018}, } @Article{LL, author = {C. Lecouvey and C. Lenart}, title = {Combinatorics of generalized exponents}, doi = {10.1093/imrn/rny157}, fjournal = {International Mathematics Research Notices}, journal = {Int. Math. Res. Not.}, year = {2018}, } @misc{Su, author = {S. Sundaram}, title = {On the combinatorics of representations of the symplectic group}, url={http://hdl.handle.net/1721.1/15060}, fjournal = {Thesis (Ph.D.)-Massachusetts Institute of Technology.}, journal = {Thesis, MIT}, year = {1986}, } %note = {url={http://hdl.handle.net/1721.1/15060}}, @Article{HTW, author = {R. Howe and E.-C. Tan and J. Willenbring}, title = {Stable branching rules for classical symmetric pairs}, pages = {1601--1626}, volume = {357}, fjournal = {TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY}, journal = {Trans. Amer. Math. Soc.}, doi={10.1090/S0002-9947-04-03722-5}, year = {2005}, } @Article{Wa, author = {W. Wang}, title = {Duality in infinite dimensional Fock representations}, doi = {10.1142/S0219199799000080}, pages = {155--199}, volume = {1}, fjournal = {International Mathematics Research Notices}, journal = {Commun. Contemp. Math.}, year = {1999}, } @misc{J, author = {J. Jagenteufel}, title = {A Sundaram type bijection for ${\rm SO}(2k+1)$}, eprint = {1902.03843}, eprinttype = {arXiv}, year = {2018}, } @Article{Lw-1, author = {D. Littlewood}, title = {On invariant theory under restricted groups}, doi = {10.1098/rsta.1944.0003}, pages = {387–-417}, volume = {239}, journal = {Philosophical Transactions of The Royal Society A}, year = {1944}, } @Article{JK19, author = {I.-S. Jang and J.-H. Kwon}, title = {Flagged Littlewood-Richardson tableaux and branching rule for classical groups}, eprint = {1908.11041}, adsnote = {Provided by the SAO/NASA Astrophysics Data System}, adsurl = {https://ui.adsabs.harvard.edu/abs/2019arXiv190811041J/abstract}, eprinttype = {arXiv}, keywords = {Mathematics - Quantum Algebra, Mathematics - Combinatorics, 17B37, 22E46, 05E10}, month = {8}, primaryclass = {math.RT}, year = {2019}, } @Article{K15, author = {J.-H. Kwon}, title = {Super duality and crystal bases for quantum ortho-symplectic superalgebras}, doi = {10.1093/imrn/rnv076}, pages = {12620--12677}, fjournal = {International Mathematics Research Notices}, journal = {Int. Math. Res. Not.}, year = {2015}, } @Article{K16, author = {J.-H. Kwon}, title = {Super duality and crystal bases for quantum ortho-symplectic superalgebras II}, doi = {10.1007/s10801-015-0646-6}, pages = {553--588}, volume = {43}, fjournal = {Journal of Algebraic Combinatorics}, journal = {J. Algebr. Comb.}, year = {2016}, } @Article{EW, author = {T. Enright and J. Willenbring}, title = {Hilbert series, Howe duality and branching for classical groups}, doi = {10.4007/annals.2004.159.337}, pages = {337--375}, volume = {159}, fjournal = {Annals of Mathematics}, journal = {Ann. of Math.}, year = {2004}, } @book{Lw-2, author = {D. Littlewood}, title = {The theory of group characters and matrix representations of groups}, fjournal = {Clarendon Press}, journal = {Clarendon Press}, year = {1950}, } @book{Ful, author = {W. Fulton}, title = {Young tableaux, with Application to Representation theory and Geometry}, fjournal = {Cambridge University Press}, journal = {Cambridge Univ. Press}, year = {1997}, doi={10.1017/CBO9780511626241} }