Enlargeable graded Lie algebras of supersymmetry

DOI10.1063/1.527519zbMath0636.17009OpenAlexW1964898453MaRDI QIDQ3775697

Paolo Teofilatto

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1063/1.527519

zbMATH Keywords

infinite-dimensional Lie algebrasnormed Lie algebrassuperspace field theoriesextension of graded Lie algebrasinfinite- dimensional Grassmann algebrasuper-Lie groups

Mathematics Subject Classification ID

Infinite-dimensional Lie (super)algebras (17B65) Applications of Lie groups to the sciences; explicit representations (22E70) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Graded Lie (super)algebras (17B70)

Related Items (7)

On the semigroup nature of superconformal symmetry ⋮ On a super Lie group structure for the group of \(G^\infty\) diffeomorphisms of a compact \(G^\infty\) supermanifold ⋮ Analysis on superspace: an overview ⋮ Discrete supergroups and super Riemann surfaces ⋮ Even sectors of Lie superalgebras as locally convex Lie algebras ⋮ On a `super' version of Lie's third fundamental theorem ⋮ Construction of supermodular forms using differential operators from a given supermodular form

Cites Work

• An existence result for super Lie groups
• Graded manifolds, supermanifolds and infinite-dimensional Grassmann algebras
• Superspaces and supersymmetries
• Embedding theorems for local analytic groups
• Generalized supermanifolds. I. Superspaces and linear operators
• Mathematical theory of super fibre bundles
• A global theory of supermanifolds
• Super Lie groups: global topology and local structure
• All Possible Symmetries of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>S</mml:mi></mml:math>Matrix

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