Decomposition numbers of Brauer algebras in non-dividing characteristic
Tài liệu tham khảo
Brauer, 1937, On algebras which are connected with the semisimple continuous groups, Ann. of Math. (2), 38, 857, 10.2307/1968843
Brown, 1955, An algebra related to the orthogonal group, Michigan Math. J., 3, 1, 10.1307/mmj/1031710528
Brundan, 2011, Highest weight categories arising from Khovanov's diagram algebra I: cellularity, Mosc. Math. J., 11
Brundan, 2012, Gradings on walled Brauer algebras and Khovanov's arc algebra, Adv. Math., 231, 709, 10.1016/j.aim.2012.05.016
Cox, 2009, A geometric characterisation of the blocks of the Brauer algebra, J. Lond. Math. Soc. (2), 80, 471, 10.1112/jlms/jdp039
Cox, 2009, The blocks of the Brauer algebra in characteristic zero, Represent. Theory, 13, 272, 10.1090/S1088-4165-09-00305-7
Cox, 2011, Alcove geometry and a translation principle for the Brauer algebra, J. Pure Appl. Algebra, 215, 335, 10.1016/j.jpaa.2010.04.023
Cox, 2011, Diagrammatic Kazhdan–Lusztig theory for the (walled) Brauer algebra, J. Algebra, 340, 151, 10.1016/j.jalgebra.2011.05.024
De Visscher
Doran, 1999, On the semisimplicity of the Brauer centralizer algebras, J. Algebra, 211, 647, 10.1006/jabr.1998.7592
Graham, 1996, Cellular algebras, Invent. Math., 123, 1, 10.1007/BF01232365
Hartmann, 2006, Young modules and filtration multiplicities for Brauer algebras, Math. Z., 254, 333, 10.1007/s00209-006-0950-x
Hanlon, 1990, Computing the discriminants of Brauer's centralizer algebras, Math. Comp., 54, 771
James, 1978, The Representation Theory of the Symmetric Groups, vol. 682
James, 1981, The Representation Theory of the Symmetric Group, vol. 16
Kleshchev, 1995, Branching rules for modular representations of symmetric groups. I, J. Algebra, 178, 493, 10.1006/jabr.1995.1362
König, 1999, Cellular algebras: inflations and Morita equivalences, J. Lond. Math. Soc. (2), 60, 700, 10.1112/S0024610799008212
Martin
Mathas, 1999, Iwahori–Hecke Algebras and Schur Algebras of the Symmetric Group, vol. 15
Murphy, 1983, The idempotents of the symmetric group and Nakayama's conjecture, J. Algebra, 81, 258, 10.1016/0021-8693(83)90219-3
Nakayama, 1941, On some modular properties of irreducible representations of a symmetric group. I, Jpn. J. Math., 18, 89
Nazarov, 1996, Young's orthogonal form for Brauer's centralizer algebra, J. Algebra, 182, 664, 10.1006/jabr.1996.0195
Okounkov, 1996, A new approach to representation theory of symmetric groups, Selecta Math. (N.S.), 2, 581, 10.1007/BF02433451
Ram, 1995, Characters of Brauer's centralizer algebras, Pacific J. Math., 169, 173, 10.2140/pjm.1995.169.173
Rui, 2006, A criterion on the semisimple Brauer algebras. II, J. Combin. Theory Ser. A, 113, 1199, 10.1016/j.jcta.2005.09.005
Schur, 1927, Über die rationalen Darstellungen der allgemeinen linearen Gruppe, Sitz.ber. Akad. Berlin, 58
Shalile, 2011, Conjugation in Brauer algebras and applications to character theory, J. Pure Appl. Algebra, 215, 2694, 10.1016/j.jpaa.2011.03.014
Shalile, 2013, On the center of the Brauer algebra, Algebr. Represent. Theory, 16, 65, 10.1007/s10468-011-9294-2