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Lie Superalgebras Graded by the Root Systems C(n), D(m, n), D(2, 1, α), F(4), G(3)

Published online by Cambridge University Press:  20 November 2018

Georgia Benkart  and
Alberto Elduque
Georgia Benkart
Affiliation:
Department of Mathematics University of Wisconsin Madison, Wisconsin 53706 USA, e-mail: benkart@math.wisc.edu
Alberto Elduque
Affiliation:
Departamento de Matemáticas Universidad de Zaragoza 50009 Zaragoza Spain, e-mail: elduque@posta.unizar.es
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Abstract

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We determine the Lie superalgebras that are graded by the root systems of the basic classical simple Lie superalgebras of type $C\left( n \right),D\left( m,n \right),D\left( 2,1;\alpha \right)\left( \alpha \in \mathbb{F}\backslash \left\{ 0,-1 \right\} \right),F(4)$, and $G(3)$.

Keywords

17A70
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 45 , Issue 4 , 01 December 2002 , pp. 509 - 524
Copyright
Copyright © Canadian Mathematical Society 2002

References

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