Abstract
We provide a linkage principle in an arbitrary parabolic category Op for the periplectic Lie superalgebras pe(n). As an application, we classify indecomposable blocks in Op. We classify indecomposable tilting modules in Op whose characters are controlled by the Kazhdan-Lusztig polynomials of type A Lie algebras. We establish the complete list of characters of indecomposable tilting modules in Op for pe(3).
Original language | English |
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Pages (from-to) | 17-45 |
Number of pages | 29 |
Journal | Transformation Groups |
Volume | 29 |
Issue number | 1 |
DOIs | |
Publication status | Published - 2024 Mar |
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory
- Geometry and Topology