Filtered multiplicative bases of restricted enveloping algebras
V. Bovdi, A. Grishkov, S. Siciliano
TL;DR
This paper investigates the existence of filtered multiplicative bases in restricted enveloping algebras of finite-dimensional p-nilpotent restricted Lie algebras over fields of positive characteristic.
Contribution
It addresses the problem of identifying conditions under which such bases exist in restricted enveloping algebras.
Findings
Analysis of conditions for the existence of filtered multiplicative bases
Characterization of restricted Lie algebras with such bases
New criteria for basis existence in restricted enveloping algebras
Abstract
We study the problem of the existence of filtered multiplicative bases of a restricted enveloping algebra u(L), where L is a finite-dimensional and p-nilpotent restricted Lie algebra over a field of positive characteristic p.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Rings, Modules, and Algebras