𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Second homology of Lie superalgebras

✍ Scribed by Kenji Iohara; Yoshiyuki Koga

Publisher
John Wiley and Sons
Year
2005
Tongue
English
Weight
174 KB
Volume
278
Category
Article
ISSN
0025-584X

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

The second homology of Lie superalgebras over a field of characteristic 0 extended over a supercommutative superalgebra A and their twisted version are obtained. (Β© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

πŸ“œ SIMILAR VOLUMES

Indecomposable Representations of Specia
Indecomposable Representations of Special Linear Lie Superalgebras
✍ 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

Construction of Finitely Presented Lie A
Construction of Finitely Presented Lie Algebras and Superalgebras
✍ VLADIMIR P. GERDT; VLADIMIR V KORNYAK πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 455 KB

We consider the following problem: what is the most general Lie algebra or superalgebra satisfying a given set of Lie polynomial equations? The presentation of Lie (super)algebras by a finite set of generators and defining relations is one of the most general mathematical and algorithmic schemes of

The Center of a Simple P-Type Lie Supera
The Center of a Simple P-Type Lie Superalgebra
✍ Maria Gorelik πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 153 KB

We describe the center of a simple Lie superalgebra of type P n . The description is based on the notion of anticenter.

Correction to my Paper β€žOn Representativ
Correction to my Paper β€žOn Representative Functions of Lie Superalgebras”
✍ Helmut Boseck πŸ“‚ Article πŸ“… 1987 πŸ› John Wiley and Sons 🌐 English βš– 67 KB

I am indebted to 31. SCHEUNERT, who told me, that Lemma 1.1 is false, as Lemma 1.1. If I , i s a two-sided cofinite ideal in the enveloping algebra U(L,-) of can be seen by simple examples. It should be replaced as follows.