Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4584177 | Journal of Algebra | 2015 | 27 Pages |
Abstract
We study categories of finite-dimensional modules over the periplectic Lie superalgebras and obtain a BGG type reciprocity. In particular, we prove that these categories have only finitely-many blocks. We also compute the characters for irreducible modules over periplectic Lie superalgebras of ranks 2 and 3, and obtain explicit description of the blocks for ranks 2, 3, and 4.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Chih-Whi Chen,