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Finite dimensional compact and unitary Lie superalgebras

Azam S, Neeb KH (2015)

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Publication Type: Journal article, Original article

Publication year: 2015

Journal

Publisher: Elsevier

Book Volume: 219

Pages Range: 4422 - 4440

Journal Issue: 10

URI: http://www.sciencedirect.com/science/article/pii/S0022404915000511

DOI: 10.1016/j.jpaa.2015.02.024

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 (g$\mathfrak{g}$ is a semisimple ${\mathfrak{g}}_{\overline{0}}$-module) over fields of characteristic zero into ideals.

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How to cite

APA:

Azam, S., & Neeb, K.H. (2015). Finite dimensional compact and unitary Lie superalgebras. Journal of Pure and Applied Algebra, 219(10), 4422 - 4440. https://dx.doi.org/10.1016/j.jpaa.2015.02.024

MLA:

Azam, Saeid, and Karl Hermann Neeb. "Finite dimensional compact and unitary Lie superalgebras." Journal of Pure and Applied Algebra 219.10 (2015): 4422 - 4440.

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