REPRESENTATIONS OF CENTRAL EXTENSIONS OF DIFFERENTIABLY SIMPLE LIE-SUPERALGEBRAS

Authors
CHENG SJ
Citation
Sj. Cheng, REPRESENTATIONS OF CENTRAL EXTENSIONS OF DIFFERENTIABLY SIMPLE LIE-SUPERALGEBRAS, Communications in Mathematical Physics, 154(3), 1993, pp. 555-568
Citations number
5
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Communications in Mathematical Physics → ACNP
ISSN journal
00103616
Volume
154
Issue
3
Year of publication
1993
Pages
555 - 568
Database
ISI
SICI code
0010-3616(1993)154:3<555:ROCEOD>2.0.ZU;2-E
Abstract
Let S be a simple Lie algebra of characteristic 0 and LAMBDA(n) be the Grassmann superalgebra in n indeterminates. We can form the Lie super algebra S x LAMBDA(n). The purpose of this paper is to classify all fi nite dimensional irreducible representations of all central extensions of S x LAMBDA(n). We will also give a character formula for these rep resentations.