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Humphreys}, DOI = {10.1007/978-1-4612-1104-4_6}, URL = {https://doi.org/10.1007/978-1-4612-1104-4_6}, } @book {Had2, AUTHOR = {Haddad, Ziad}, TITLE = {Infinite-dimensional flag varieties}, NOTE = {Thesis (Ph.D.)--Massachusetts Institute of Technology}, PUBLISHER = {ProQuest LLC, Ann Arbor, MI}, YEAR = {1984}, PAGES = {(no paging)}, MRCLASS = {Thesis}, MRNUMBER = {2941065}, URL = {http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:0369754}, } @article{Ising, author = {Pavel Galashin and Pavlo Pylyavskyy}, title = {{Ising model and the positive orthogonal Grassmannian}}, journal={Duke Math J.}, note={(to appear)}, year={2020}, pages={pp. 66}, DOI={10.1215/00127094-2019-0086} } @article {GK37, AUTHOR = {Gantmakher, F. and Krein, M.}, TITLE = {Sur les matrices compl\`etement non n\'{e}gatives et oscillatoires}, JOURNAL = {Compositio Math.}, FJOURNAL = {Compositio Mathematica}, VOLUME = {4}, YEAR = {1937}, PAGES = {445--476}, ISSN = {0010-437X}, MRCLASS = {DML}, MRNUMBER = {1556987}, URL = {http://www.numdam.org/item?id=CM_1937__4__445_0}, } @book {GK, AUTHOR = {Gantmaher, F. R. and Kre\uu{\ii}n, M. G.}, TITLE = {Oscillyacionye matricy i yadra i malye kolebaniya mehani\v{c}eskih sistem}, NOTE = {2d ed. Translated into English by A. Eremenko \cite{GK_translation}}, PUBLISHER = {Gosudarstv. Isdat. Tehn.-Teor. Lit., Moscow-Leningrad}, YEAR = {1950}, PAGES = {359}, MRCLASS = {45.0X}, MRNUMBER = {0049462}, MRREVIEWER = {F. V. Atkinson}, } @book {GK_translation, AUTHOR = {Gantmacher, F. P. and Krein, M. G.}, TITLE = {Oscillation Matrices and Kernels and Small Vibrations of Mechanical Systems}, EDITION = {Revised}, NOTE = {Translation based on the 1950 Russian original. Edited and with a preface by Alex Eremenko}, PUBLISHER = {AMS Chelsea Publishing, Providence, RI}, YEAR = {2002}, PAGES = {viii+310}, ISBN = {0-8218-3171-2}, MRCLASS = {34L05 (15A18 34A30 34B05 45B05 47G10 74H45)}, MRNUMBER = {1908601}, DOI = {10.1090/chel/345}, URL = {http://dx.doi.org/10.1090/chel/345}, } @article {GLS, AUTHOR = {Gei\ss , Christof and Leclerc, Bernard and Schr\"{o}er, Jan}, TITLE = {Kac--{M}oody groups and cluster algebras}, JOURNAL = {Adv. Math.}, FJOURNAL = {Advances in Mathematics}, VOLUME = {228}, YEAR = {2011}, NUMBER = {1}, PAGES = {329--433}, ISSN = {0001-8708}, MRCLASS = {13F60 (16G20 17B67 20G44)}, MRNUMBER = {2822235}, MRREVIEWER = {Gregoire Dupont}, DOI = {10.1016/j.aim.2011.05.011}, URL = {https://doi.org/10.1016/j.aim.2011.05.011}, } @article {GY, AUTHOR = {Goodearl, K. R. and Yakimov, M.}, TITLE = {Poisson structures on affine spaces and flag varieties. {II}}, JOURNAL = {Trans. Amer. Math. 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Lamotke}, DOI = {10.1007/978-3-642-71714-7}, URL = {https://doi.org/10.1007/978-3-642-71714-7}, } @book {Hat, AUTHOR = {Hatcher, Allen}, TITLE = {Algebraic topology}, PUBLISHER = {Cambridge University Press, Cambridge}, YEAR = {2002}, PAGES = {xii+544}, ISBN = {0-521-79160-X; 0-521-79540-0}, MRCLASS = {55-01 (55-00)}, MRNUMBER = {1867354}, MRREVIEWER = {Donald W. Kahn}, URL={http://pi.math.cornell.edu/~hatcher/AT/ATpage.html} } @article {He, AUTHOR = {He, Xuhua}, TITLE = {A subalgebra of 0-{H}ecke algebra}, JOURNAL = {J. Algebra}, FJOURNAL = {Journal of Algebra}, VOLUME = {322}, YEAR = {2009}, NUMBER = {11}, PAGES = {4030--4039}, ISSN = {0021-8693}, MRCLASS = {20C08}, MRNUMBER = {2556136}, MRREVIEWER = {Thomas Pietraho}, DOI = {10.1016/j.jalgebra.2009.04.003}, } @article {He2, AUTHOR = {He, Xuhua}, TITLE = {Minimal length elements in some double cosets of {C}oxeter groups}, JOURNAL = {Adv. 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