Arens–Michael envelopes of nilpotent Lie algebras, holomorphic functions of exponential type, and homological epimorphisms

DOI10.1090/mosc/301zbMath1494.17004arXiv1810.13213OpenAlexW3138758706WikidataQ115546270 ScholiaQ115546270MaRDI QIDQ4985016

Oleg Yu. Aristov

Publication date: 21 April 2021

Published in: Transactions of the Moscow Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.13213

zbMATH Keywords

nilpotent Lie algebralength functionhomological epimorphismsubmultiplicative weightArens-Michael envelopeholomorphic function of exponential type

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Analysis on real and complex Lie groups (22E30) Nilpotent and solvable Lie groups (22E25) Homological methods in functional analysis (exact sequences, right inverses, lifting, etc.) (46M18) Solvable, nilpotent (super)algebras (17B30) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Algebras of holomorphic functions of several complex variables (32A38)

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