Fine gradings on exceptional simple Lie superalgebras
Cristina Draper, Alberto Elduque, and Candido Martin-Gonzalez
TL;DR
This paper classifies all fine abelian group gradings on exceptional simple Lie superalgebras over algebraically closed fields of characteristic zero, providing a comprehensive understanding of their grading structures.
Contribution
It determines all fine abelian group gradings on exceptional simple Lie superalgebras up to equivalence, a complete classification in this area.
Findings
Complete classification of fine abelian group gradings
Identification of grading structures unique to exceptional superalgebras
Extension of known results to all exceptional cases
Abstract
The fine abelian group gradings on the simple exceptional classical Lie superalgebras over algebraically closed fields of characteristic 0 are determined up to equivalence.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Nonlinear Waves and Solitons