Equivalence of blocks for the general linear Lie superalgebra
Representation Theory
2015-06-12 v2
Abstract
We develop a reduction procedure which provides an equivalence (as highest weight categories) from an arbitrary block (defined in terms of the central character and the integral Weyl group) of the BGG category O for a general linear Lie superalgebra to an integral block of O for (possibly a direct sum of) general linear Lie superalgebras. We also establish indecomposability of blocks of O.
Keywords
Cite
@article{arxiv.1301.1204,
title = {Equivalence of blocks for the general linear Lie superalgebra},
author = {Shun-Jen Cheng and Volodymyr Mazorchuk and Weiqiang Wang},
journal= {arXiv preprint arXiv:1301.1204},
year = {2015}
}
Comments
Formulation of Theorem 2.1 fixed in the last version