On $\mathrm{ID}^{*}$-superderivations of Lie superalgebras
Wende Liu, Mengmeng Cai

TL;DR
This paper investigates the structure of a specific class of superderivations in Lie superalgebras, providing bounds on their superdimension and characterizations for certain nilpotent cases using matrix methods.
Contribution
It offers an upper bound for the superdimension of $ ext{ID}^*$-superderivations and characterizes these superderivations for nilpotent Lie superalgebras of class 2 and model filiform types.
Findings
Upper bound for superdimension of $ ext{ID}^*$-superderivations
Characterization of $ ext{ID}^*$-superderivations for class 2 nilpotent Lie superalgebras
Characterization for model filiform Lie superalgebras
Abstract
Let be a Lie superalgebra over a field of characteristic different from and write for the Lie superalgebra consisting of superderivations mapping to and the central elements to zero. In this paper we first give an upper bound for the superdimension of by means of linear vector space decompositions. Then we characterize the -superderivation superalgebras for the nilpotent Lie superalgebras of class 2 and the model filiform Lie superalgebras by methods of block matrices.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Finite Group Theory Research
