Kostant homology formulas for oscillator modules of Lie superalgebras
β Scribed by Shun-Jen Cheng; Jae-Hoon Kwon; Weiqiang Wang
- Book ID
- 108051733
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 415 KB
- Volume
- 224
- Category
- Article
- ISSN
- 0001-8708
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π SIMILAR VOLUMES
Let \(\lambda\) be a partition of some nonnegative integer \(f\). Let \(n\) be any integer such that \(n \geq \lambda_{1}+1\). Then \(\lambda\) labels a weight for the Lie superalgebra \(C_{n}\). Let \(V^{\prime}(\lambda)\) denote the irreducible module for \(C_{n}\) with highest weight labelled by
## Abstract Let __k__ be an algebraically closed field of prime characteristic __p__ > 2, and let __S__(__n__) be the special Lie superalgebra over __k__. The isoβclasses of simple restricted modules of these algebras are classified, and the character formulas of restricted simple modules are given
The Fock space of m + p bosonic and n + q fermionic quantum oscillators forms a unitarizable module of the general linear superalgebra gl m+p| n+q . Its tensor powers decompose into direct sums of infinite-dimensional irreducible highest-weight gl m+p| n+q -modules. We obtain an explicit decompositi