Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4596247 | Journal of Pure and Applied Algebra | 2015 | 19 Pages |
Abstract
Motivated by the theory of unitary representations of finite dimensional Lie supergroups, we describe those Lie superalgebras which have a faithful finite dimensional unitary representation. We call these Lie superalgebras unitary. This is achieved by describing the classification of real finite dimensional compact simple Lie superalgebras, and analyzing, in a rather elementary and direct way, the decomposition of reductive Lie superalgebras (gg is a semisimple g0¯-module) over fields of characteristic zero into ideals.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Saeid Azam, Karl-Hermann Neeb,