On simple Filippov superalgebras of type A(0,n)
Patr\'icia Damas Beites, Alexander Petrovich Pozhidaev
TL;DR
This paper proves that there are no simple finite-dimensional Filippov superalgebras of type A(0,n) over algebraically closed fields of characteristic zero, resolving a specific classification question.
Contribution
It establishes a non-existence result for simple finite-dimensional Filippov superalgebras of a particular type, advancing the classification theory.
Findings
No simple finite-dimensional Filippov superalgebras of type A(0,n) exist over algebraically closed fields of characteristic zero.
The proof clarifies the structure constraints of Filippov superalgebras.
The result narrows the scope of possible simple superalgebra classifications.
Abstract
It is proved that there exist no simple finite-dimensional Filippov superalgebras of type A(0,n) over an algebraically closed field of characteristic 0.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Finite Group Theory Research