𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Serre-type relations for special linear Lie superalgebras

✍ Scribed by M. Scheunert


Publisher
Springer
Year
1992
Tongue
English
Weight
368 KB
Volume
24
Category
Article
ISSN
0377-9017

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Indecomposable Representations of Specia
✍ JΓ©rΓ΄me Germoni πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 390 KB

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

Representations for Lie superalgebras of
✍ Chanyoung Lee Shader πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 152 KB

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

Construction of Modules for Lie Superalg
✍ C.Y. Lee πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 641 KB

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