Sheaves of noncommutative smooth and holomorphic functions associated with the non-abelian two-dimensional Lie algebra

DOI10.1134/S0001434622070021zbMath1504.46057arXiv2108.13078OpenAlexW3197413195WikidataQ115253600 ScholiaQ115253600MaRDI QIDQ2170484

Oleg Yu. Aristov

Publication date: 6 September 2022

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.13078

zbMATH Keywords

Lie algebraholomorphic functionsmooth functionfunction of noncommuting variablessheaf of noncommutative algebras

Mathematics Subject Classification ID

Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) Inductive and projective limits in functional analysis (46M40) Lie algebras and Lie superalgebras (17B99) Functional calculus in topological algebras (46H30)

Cites Work

• Formally-radical Functions in Elements of a Nilpotent Lie Algebra and Noncommutative Localizations
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