%% This BibTeX bibliography file was created using BibDesk. %% http://bibdesk.sourceforge.net/ %% Created for Nick Beaton at 2016-09-24 13:54:23 -0600 %% Saved with string encoding Unicode (UTF-8) @article{CKW, title={Kostant homology formulas for oscillator modules of Lie superalgebras}, author={Cheng, Shun-Jen and Kwon, Jae-Hoon and Wang, Weiqiang}, journal={Advances in Mathematics}, volume={224}, number={4}, pages={1548--1588}, year={2010}, publisher={Elsevier}, doi={10.1016/j.aim.2010.01.002} } @misc{HK, title={Combinatorial Howe duality of symplectic type}, author={Heo, Taehyeok and Kwon, Jae-Hoon}, eprint = {2008.05093}, eprinttype={arxiv}, year={2020}, note={Preprint} } @article{Howe89, title={Remarks on classical invariant theory}, author={Howe, Roger}, journal={Transactions of the American Mathematical Society}, volume={313}, number={2}, pages={539--570}, year={1989}, doi={10.1090/S0002-9947-1989-0986027-X} } @article{Howe95, title={Perspectives on invariant theory: Schur duality, multiplicity-free actions and beyond}, author={Howe, Roger}, journal={The Schur lectures (1992)(Tel Aviv)}, pages={1--182}, year={1995}, publisher={Bar-Ilan Univ.} } @article{HTW, title={Stable branching rules for classical symmetric pairs}, author={Howe, Roger and Tan, Eng-Chye and Willenbring, Jeb}, journal={Transactions of the American mathematical society}, volume={357}, number={4}, pages={1601--1626}, year={2005}, doi={10.1090/S0002-9947-04-03722-5} } @article{KN, title={Crystal graphs for representations of the q-analogue of classical Lie algebras}, author={Kashiwara, Masaki and Nakashima, Toshiki}, journal={Journal of algebra}, volume={165}, number={2}, pages={295--345}, year={1994}, publisher={Elsevier}, doi={10.1006/jabr.1994.1114} } @article{King75, title={Branching rules for classical Lie groups using tensor and spinor methods}, author={King, Ronald Curtis}, journal={Journal of Physics A: Mathematical and General}, volume={8}, number={4}, pages={429}, year={1975}, 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journal={Transactions of the American Mathematical Society}, volume={370}, number={9}, pages={6125--6152}, year={2018}, doi={10.1090/tran/7104} } @article{LZ, title={Quasi-finite modules for Lie superalgebras of infinite rank}, author={Lam, Ngau and Zhang, Ruibin}, journal={Transactions of the American Mathematical Society}, volume={358}, number={1}, pages={403--439}, year={2006}, doi={10.1090/S0002-9947-05-03795-5} } @incollection{La03, title={Double crystal graphs}, author={Lascoux, Alain}, booktitle={Studies in memory of Issai Schur}, pages={95--114}, year={2003}, publisher={Springer}, doi={10.1007/978-1-4612-0045-1_5} } @article{Le02, title={Schensted-type correspondence, plactic monoid, and jeu de taquin for type $C_n$}, author={Lecouvey, C{\'e}dric}, journal={Journal of Algebra}, volume={247}, number={2}, pages={295--331}, year={2002}, publisher={Elsevier}, doi={10.1006/jabr.2001.8905} } @misc{Lee19, title={Crystal structure on King tableaux and semistandard oscillating tableaux}, author={Lee, Seung Jin}, eprint={1910.04459}, eprinttype={arxiv}, year={2019}, note={Preprint} } @book{Li77, title={The theory of group characters and matrix representations of groups}, author={Littlewood, Dudley Ernest}, volume={357}, year={1977}, publisher={American Mathematical Soc.} } @article{Sh99, title={A symplectic jeu de taquin bijection between the tableaux of King and of De Concini}, author={Sheats, Jeffrey}, journal={Transactions of the American Mathematical Society}, volume={351}, number={9}, pages={3569--3607}, year={1999}, doi={10.1090/S0002-9947-99-02166-2} } @article{Wang99, title={Duality in infinite dimensional Fock representations}, author={Wang, Weiqiang}, journal={Communications in Contemporary Mathematics}, volume={1}, number={02}, pages={155--199}, year={1999}, publisher={World Scientific}, doi={10.1142/S0219199799000080} } @book{Weyl46, title={The classical groups: their invariants and representations}, author={Weyl, Hermann}, volume={45}, 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