The structure of multilinear part of variety V3 of Leibnitz algebras
T. V. Skoraya
TL;DR
This paper investigates the structure of the multilinear components of a specific variety of Leibniz algebras, providing new insights into their multiplicities and colength, especially for those with almost polynomial growth.
Contribution
It introduces new results on multiplicities and colengths for Leibniz algebra varieties generated by Heisenberg algebra representations, expanding understanding of their algebraic structure.
Findings
Values of multiplicities for Leibniz algebras with almost polynomial growth
Determination of colength for the variety generated by Heisenberg algebra
Analysis of the structure of multilinear parts in Leibniz algebra varieties
Abstract
The paper presents two new results concerning the varieties of Leibnitz algebras. We find values of multiplicities and colength variety of Leibniz algebras of almost polynomial growth, which is generated by the algebra constructed with the help of the Heisenberg algebra and its infinite-dimensional irreducible representations.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Nonlinear Waves and Solitons