On representations of the Lie superalgebra p(n)
β Scribed by Vera Serganova
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 171 KB
- Volume
- 258
- Category
- Article
- ISSN
- 0021-8693
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π SIMILAR VOLUMES
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
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
We have obtained all the finite-dimensional umtary irreps of gl(m I n) and C(n), which also exhaust such irreps of all the basic classical Lie superalgebras. The lowest weights of such irreps are worked out explimtly. It is also shown that the contravariant and covariant tensor irreps of gl(m I n) a