Abstract
In this note, we formulate and prove a branching rule for simple polynomial modules of the Lie superalgebra (Formula presented.). Our branching rules depend on the conjugacy class of a Borel subalgebra. A Gelfand–Tsetlin basis of a polynomial module associated to each Borel subalgebra is obtained in terms of generalized semistandard tableaux.
| Original language | English |
|---|---|
| Pages (from-to) | 274-282 |
| Number of pages | 9 |
| Journal | Linear and Multilinear Algebra |
| Volume | 63 |
| Issue number | 2 |
| DOIs | |
| State | Published - 1 Feb 2015 |
Keywords
- Gelfand–Tsetlin bases
- Lie superalgebras
- Young diagrams
- duality
- representations