Homological dimensions of the algebra formed by entire functions of elements of a nilpotent Lie algebra

DOI10.1023/A:1022976011347zbMath1029.46065OpenAlexW136101510MaRDI QIDQ1400112

A. A. Dosiyev

Publication date: 13 August 2003

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1022976011347

zbMATH Keywords

nilpotent Lie algebralocalizationTaylor spectrumArens-Michael hullprojective homological dimension

Mathematics Subject Classification ID

Solvable, nilpotent (super)algebras (17B30) Topological algebras, normed rings and algebras, Banach algebras (46H99)

Related Items (10)

Local left invertibility for operator tuples and noncommutative localizations ⋮ Fréchet sheaves and Taylor spectrum for supernilpotent Lie algebra of operators ⋮ Arens–Michael envelopes, homological epimorphisms, and relatively quasi-free algebras ⋮ Formally-radical Functions in Elements of a Nilpotent Lie Algebra and Noncommutative Localizations ⋮ Holomorphic functions on the quantum polydisk and on the quantum ball ⋮ Arens-Michael enveloping algebras and analytic smash products ⋮ Open embeddings and pseudoflat epimorphisms ⋮ Arens–Michael envelopes of nilpotent Lie algebras, holomorphic functions of exponential type, and homological epimorphisms ⋮ Holomorphically finitely generated algebras ⋮ Cartan--Slodkowski spectra, splitting elements and noncommutative spectral mapping theorems

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