On enlargability of infinite-dimensional Lie superalgebras

DOI10.1016/0393-0440(93)90002-VzbMath0771.17024OpenAlexW1974901070MaRDI QIDQ1801599

Vladimir G. Pestov

Publication date: 13 September 1993

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0393-0440(93)90002-v

zbMATH Keywords

Lie superalgebrasupermanifoldDeWitt supergroupenlargabilityRogers supergroup

Mathematics Subject Classification ID

Infinite-dimensional Lie (super)algebras (17B65) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Supermanifolds and graded manifolds (58A50) Graded Lie (super)algebras (17B70)

Related Items (2)

Analysis on superspace: an overview ⋮ On the structure of DeWitt supermanifolds

Cites Work

• A superanalog of the Selberg trace formula and multiloop contributions for fermionic strings
• On a `super' version of Lie's third fundamental theorem
• Foundations of supermanifold theory: The axiomatic approach
• Superanalysis, I. Differential calculus
• Geometry of gauge fields in multidimensional universe
• How different are the supermanifolds of Rogers and De Witt?
• Graded manifolds, supermanifolds and infinite-dimensional Grassmann algebras
• Usage of infinite-dimensional nuclear algebras in superanalysis
• Matrix computations in linear superalgebra
• Superspaces and supersymmetries
• Supergravity, complex geometry and G-structures
• General construction of Banach-Grassmann algebras
• Products and vector bundles within the category of \(G\)-supermanifolds
• Embedding theorems for local analytic groups
• Domaines d'injectivite de l'application exponentielle
• Even sectors of Lie superalgebras as locally convex Lie algebras
• Lie Supergroup Actions on Supermanifolds
• Generalized supermanifolds. I. Superspaces and linear operators
• Graded Lie algebras in mathematics and physics (Bose-Fermi symmetry)
• The Theory of G ∞ -Supermanifolds
• Supergroups have no extra topology
• The Axioms of Supermanifolds and a New Structure Arising From Them
• De Witt Supermanifolds and Infinitedimensional Ground Rings
• Linear Supergroup Actions. I: On the Defining Properties
• Functional superanalysis
• Interpreting superanalyticity in terms of convergent series
• Two Approaches to Supermanifolds
• A global theory of supermanifolds
• Some examples of compact supermanifolds with non-Abelian fundamental group
• Super Lie groups: global topology and local structure
• Analytic functions in topological vector-spaces
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On enlargability of infinite-dimensional Lie superalgebras