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arXiv:math/0209235 [math.RT]AbstractReferencesReviewsResources

Tilting modules for Lie superalgebras

Jonathan Brundan

Published 2002-09-18Version 1

This is a companion article to my papers on Kazhdan-Lusztig polynomials and character formulae for the Lie superalgebras gl(m|n) (much revised!) and q(n). The goal is to develop the general theory of tilting modules for Lie superalgebras, working in a general graded setting very similar to work of Soergel (Character formulae for tilting modules over Kac-Moody algebras, Represent. Theory 2 (1998), 432-438) in the Lie algebra case. Examples are given involving the Lie superalgebras gl(m|n) and q(n), but maybe this will also be useful for the other classical and affine Lie superalgebras.

Comments: 16 pages
Journal: Commun. in Algebra 32 (2004), 2251-2268.
Categories: math.RT
Subjects: 17B10
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