Lie Superalgebras Graded by the Root System $A(m,n)$
Georgia Benkart, Alberto Elduque
TL;DR
This paper classifies Lie superalgebras graded by the root systems of basic classical simple Lie superalgebras of type A(m,n), expanding understanding of their structure.
Contribution
It provides a complete classification of Lie superalgebras graded by root systems of type A(m,n), a previously uncharacterized class.
Findings
Classification of Lie superalgebras graded by A(m,n) root systems
Identification of structural properties of these graded superalgebras
Extension of root system grading theory to superalgebras
Abstract
We determine the Lie superalgebras that are graded by the root systems of the basic classical simple Lie superalgebras of type A.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Nonlinear Waves and Solitons