Lie Supergroup Actions on Supermanifolds

DOI10.2307/2001621zbMath0724.58005OpenAlexW4251804138MaRDI QIDQ3211994

Charles P. Boyer, Oscar Adolfo Sánchez Valenzuela

Publication date: 1991

Full work available at URL: https://doi.org/10.2307/2001621

zbMATH Keywords

supermanifoldsLie supergroups

Mathematics Subject Classification ID

Supermanifolds and graded manifolds (58A50) Lie algebras of Lie groups (22E60) ``Super (or ``skew) structure (16W55)

Related Items (12)

Geometric properties of involutive distributions on graded manifolds ⋮ Highest weight Harish-Chandra supermodules and their geometric realizations ⋮ The meaning of time and covariant superderivatives in supermechanics ⋮ Analysis on superspace: an overview ⋮ Riemannian supergeometry ⋮ Hamilton's equations and supersymplectic flows on (2,2)-dimensional superspace ⋮ Superization of homogeneous spin manifolds and geometry of homogeneous supermanifolds ⋮ Lie supergroups supported over \(\text{GL}_2\) and \(\text{U}_2\) associated to the adjoint representation ⋮ SUPERORBITS ⋮ On enlargability of infinite-dimensional Lie superalgebras ⋮ Existence and uniqueness of solutions to superdifferential equations ⋮ Odd connections on supermanifolds: existence and relation with affine connections

Cites Work

• Arithmetic and geometry. Papers dedicated to I. R. Shafarevich on the occasion of his sixtieth birthday. Vol. I: Arithmetic
• Matrix computations in linear superalgebra
• The Structure of Supermanifolds
• The Axioms of Supermanifolds and a New Structure Arising From Them
• Remarks on Grassmannian Supermanifolds
• Linear Supergroup Actions. I: On the Defining Properties
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