Article ID Journal Published Year Pages File Type
4596247 Journal of Pure and Applied Algebra 2015 19 Pages PDF
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.

Keywords
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Authors
, ,