Homological Dimensions of the Algebra Formed by Entire Functions of Elements of a Nilpotent Lie Algebra期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Homological Dimensions of the Algebra Formed by Entire Functions of Elements of a Nilpotent Lie Algebra

Authors:	A. A. Dosiev

Affiliation:	(1) Institute of Mathematics and Mechanics, Azerbaijan Academy of Sciences, UK

Abstract:	This note deals with homological characteristics of algebras of holomorphic functions of noncommuting variables generated by a finite-dimensional nilpotent Lie algebra . It is proved that the embedding $U(mathfrak{g}) to O_mathfrak{g}$ of the universal enveloping algebra of into its Arens–Michael hull $O_mathfrak{g}$ is an absolute localization in the sense of Taylor provided that

Keywords:	Arens– Michael hull, projective homological dimension, nilpotent Lie algebra, localization, Taylor spectrum
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