Tilting modules for Lie superalgebras

Details Tilting modules for Lie superalgebras Tilting modules for Lie superalgebras

2002-09-18

arxiv.org/abs/math/0209235v1

Commun. in Algebra 32 (2004), 2251-2268.

Mathematics

Representation Theory

16 pages

Scientific paper

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.

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