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

Date

2009-11-01

Author

Dosi (Dosiev), A. A.

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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.

Subject Keywords

General Mathematics

URI

https://hdl.handle.net/11511/64272

Journal

IZVESTIYA MATHEMATICS

DOI

https://doi.org/10.1070/im2009v073n06abeh002476

Collections

Natural Sciences and Mathematics, Article

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Citation Formats

A. A. Dosi (Dosiev), “Non-commutative holomorphic functions in elements of a Lie algebra and the absolute basis problem,” IZVESTIYA MATHEMATICS, pp. 1149–1171, 2009, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/64272.