On Weyl modules over affine Lie algebras in prime characteristic
Representation Theory
2016-11-15 v5 Quantum Algebra
Abstract
We construct a family of homomorphisms between Weyl modules for affine Lie algebras in characteristic p, which supports our conjecture on the strong linkage principle in this context. We also exhibit a large class of reducible Weyl modules beyond level one, for p not necessarily small.
Keywords
Cite
@article{arxiv.1310.3696,
title = {On Weyl modules over affine Lie algebras in prime characteristic},
author = {Chun-Ju Lai},
journal= {arXiv preprint arXiv:1310.3696},
year = {2016}
}
Comments
30 pages, 1 figure, 3 tables; v4: clarifying the statement of Conjecture 6.1 regarding the strong linkage principle