Non-commutative holomorphic functions in elements of a Lie algebra and the absolute basis problem

被引：3

作者：

Dosi , A. A. ^{[1
]}

机构：

[1] Middle E Tech Univ, Ankara, Turkey

来源：

IZVESTIYA MATHEMATICS | 2009年 / 73卷 / 06期

关键词：

holomorphic functions in elements of a Lie algebra; Arens Michael envelope; localization; SPECTRA;

D O I：

10.1070/IM2009v073n06ABEH002476

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the absolute basis problem in algebras of holomorphic functions in non-commuting variables generating a finite-dimensional nilpotent Lie algebra g. This is motivated by J. L. Taylor's programme of non-commutative holomorphic functional calculus in the Lie algebra framework.

引用

页码：1149 / 1171

页数：23

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