Representations of Lie Superalgebras in Prime Characteristic I
Representation Theory
2014-02-26 v2 Quantum Algebra
Rings and Algebras
Abstract
We initiate the representation theory of restricted Lie superalgebras over an algebraically closed field of characteristic p>2. A superalgebra generalization of the celebrated Kac-Weisfeiler Conjecture is formulated, which exhibits a mixture of p-power and 2-power divisibilities of dimensions of modules. We establish the Conjecture for basic classical Lie superalgebras.
Keywords
Cite
@article{arxiv.0808.0046,
title = {Representations of Lie Superalgebras in Prime Characteristic I},
author = {Weiqiang Wang and Lei Zhao},
journal= {arXiv preprint arXiv:0808.0046},
year = {2014}
}
Comments
v2, mild correction of typos, Proc. London Math. Soc. (to appear)