The Push the button algorithm for contragredient Lie superalgebras
R. Fioresi, R. Palmieri
TL;DR
This paper demonstrates how the push the button algorithm can be applied to Vogan superdiagrams of contragredient Lie superalgebras to derive a super version of the Borel-De Siebenthal Theorem.
Contribution
It extends the push the button algorithm to superalgebras, providing a new method to analyze their Vogan superdiagrams and derive related structural theorems.
Findings
Successful application of the algorithm to superdiagrams
Derivation of a super version of the Borel-De Siebenthal Theorem
Enhanced understanding of contragredient Lie superalgebras
Abstract
The purpose of the present paper is to explain how the push the button algorithm can be successfully applied to the Vogan superdiagram associated to a contragredient Lie superalgebra, so to obtain the equivalent super version of the Borel-De Siebenthal Theorem.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Nonlinear Waves and Solitons