Even sectors of Lie superalgebras as locally convex Lie algebras

DOI10.1063/1.529126zbMath0693.17015OpenAlexW2021781403MaRDI QIDQ3035471

Vladimir G. Pestov

Publication date: 1991

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.529126

zbMATH Keywords

enlargible Lie algebrasgraded-commutative local Arens-Michael algebras

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Groups and semigroups of linear operators (47D03) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Superalgebras (17A70) Analysis on supermanifolds or graded manifolds (58C50) Structure, classification of topological algebras (46H20)

Related Items

Universal arrows to forgetful functors from categories of topological algebra ⋮ On a super Lie group structure for the group of \(G^\infty\) diffeomorphisms of a compact \(G^\infty\) supermanifold ⋮ Analysis on superspace: an overview ⋮ A contribution to nonstandard superanalysis ⋮ Foundations of supermanifold theory: The axiomatic approach ⋮ On enlargability of infinite-dimensional Lie superalgebras ⋮ On the structure of DeWitt supermanifolds ⋮ Soul expansion of G∞ superfunctions

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