Irreducible Characters of General Linear Superalgebra and Super Duality
Representation Theory
2015-05-13 v2
Abstract
We develop a new method to solve the irreducible character problem for a wide class of modules over the general linear superalgebra, including all the finite-dimensional modules, by directly relating the problem to the classical Kazhdan-Lusztig theory. We further verify a parabolic version of a conjecture of Brundan on the irreducible characters in the BGG category of the general linear superalgebra. We also prove the super duality conjecture.
Keywords
Cite
@article{arxiv.0905.0332,
title = {Irreducible Characters of General Linear Superalgebra and Super Duality},
author = {Shun-Jen Cheng and Ngau Lam},
journal= {arXiv preprint arXiv:0905.0332},
year = {2015}
}