Z-graded identities of the Lie algebras U-1 in characteristic 2

Fidelis Claudemir; Koshlukov Plamen

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Z-graded identities of the Lie algebras U-1 in characteristic 2

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摘要

Let K be any field of characteristic two and let U-1 and W-1 be the Lie algebras of the derivations of the algebra of Laurent polynomials Kt, t(-1) and of the polynomial ring Kt, respectively. The algebras U-1 and W-1 are equipped with natural Z-gradings. In this paper, we provide bases for the graded identities of U-1 and W-1, and we prove that they do not admit any finite basis.

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来源
《Mathematical Proceedings of the Cambridge Philosophical Society》 |2023年第1期|49-58|共10页
作者
Fidelis Claudemir; Koshlukov Plamen;
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作者单位

Univ Fed Campina Grande;

Univ Sao Paulo;

Univ Estadual Campinas;

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正文语种英语
中图分类数学;
关键词
MATRIX ALGEBRA; POLYNOMIAL-IDENTITIES; FIELD;

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Z-graded identities of the Lie algebras U-1 in characteristic 2

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