Varieties of Nilpotent Lie Superalgebras of dimension $\leq 5$
Mar\'ia Alejandra Alvarez, Ma Isabel Hern\'andez
TL;DR
This paper classifies nilpotent Lie superalgebras of dimension five or less, identifying their irreducible components and constructing rigid examples, advancing understanding of their algebraic structure.
Contribution
It provides a comprehensive classification and analysis of nilpotent Lie superalgebras up to dimension five, including the construction of rigid superalgebras.
Findings
Complete algebraic classification of nilpotent Lie superalgebras of dimension ≤ 5
Identification of irreducible components in each variety
Construction of rigid nilpotent Lie superalgebras of arbitrary dimension
Abstract
In this paper we study the varieties of nilpotent Lie superalgebras of dimension . We provide the algebraic classification of these superalgebras and obtain the irreducible components in every variety. As a by product we construct rigid nilpotent Lie superalgebras of arbitrary dimension.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Nonlinear Waves and Solitons