The main result of this paper is a classification of finite-dimensional representa-Ε½ . tions of the Lie superalgebras sl m, 1 of supertraceless endomorphisms of the Ε½ < . vector superspace of dimension m 1 . The classification extends to the so-called Ε½ . singly atypical blocks of the Lie superalgeb
Serre-type relations for special linear Lie superalgebras
β Scribed by M. Scheunert
- Publisher
- Springer
- Year
- 1992
- Tongue
- English
- Weight
- 368 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0377-9017
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π SIMILAR VOLUMES
Let G = osp(2, 2n) be the classical Lie superalgebra of type C of rank n + 1. Let Ξ» be a partition with Ξ» 1 n. Then Ξ» labels a finite-dimensional irreducible G-module, V (Ξ»). We describe the character of V (Ξ») in terms of tableaux. This tableaux description of characters enable us to decompose T = f
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