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.
Original language | English |
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Pages (from-to) | 99-125 |
Number of pages | 27 |
Journal | Journal of Algebra |
Volume | 443 |
DOIs | |
State | Published - 1 Dec 2015 |
Keywords
- BGG reciprocity
- Blocks
- Irreducible characters
- Periplectic lie superalgebras
- Tilting modules