arXiv Analytics

Sign in

arXiv:1310.3696 [math.RT]AbstractReferencesReviewsResources

On Weyl modules over affine Lie algebras in prime characteristic

Chun-Ju Lai

Published 2013-10-14, updated 2015-01-16Version 2

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.

Comments: 29 pages, 1 figure, 3 tables
Categories: math.RT, math.QA
Related articles: Most relevant | Search more
arXiv:0808.0046 [math.RT] (Published 2008-08-01, updated 2009-01-12)
Representations of Lie Superalgebras in Prime Characteristic I
arXiv:0910.2077 [math.RT] (Published 2009-10-12)
Representations of Lie superalgebras in prime characteristic III
arXiv:2305.05188 [math.RT] (Published 2023-05-09)
Extremal weight crystals over affine Lie algebras of infinite rank