An existence result for super Lie groups

DOI10.1007/BF00400498zbMath0574.22012WikidataQ115395046 ScholiaQ115395046MaRDI QIDQ1063706

Robert Cianci, Ugo Bruzzo

Publication date: 1984

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

zbMATH Keywords

supermanifoldBanach-Grassmann algebraconnected super Lie groupglobal third Lie theoremsuper Lie moduleuniversal envelop

Mathematics Subject Classification ID

Infinite-dimensional Lie (super)algebras (17B65) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Graded Lie (super)algebras (17B70) Group structures and generalizations on infinite-dimensional manifolds (58B25)

Related Items (9)

Gauge theories, flat superforms and reduction of super fiber bundles ⋮ Distributions and partial differential equations on superspace ⋮ Variational calculus on supermanifolds and invariance properties of superspace field theories ⋮ Analysis on superspace: an overview ⋮ Enlargeable graded Lie algebras of supersymmetry ⋮ Infinite-dimensional super Lie groups ⋮ Even sectors of Lie superalgebras as locally convex Lie algebras ⋮ On a `super' version of Lie's third fundamental theorem ⋮ On the structure of superfields in a field theory on a supermanifold

Cites Work

• Superspaces and supersymmetries
• Classical Banach-Lie algebras and Banach-Lie groups of operators in Hilbert space
• Graded Lie algebras in mathematics and physics (Bose-Fermi symmetry)
• Supermanifolds and automorphisms of super Lie groups
• A global theory of supermanifolds
• Super Lie groups: global topology and local structure
• Lie superalgebras
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