Supermanifolds and Supergroups [electronic resource] : Basic Theory / by Gijs M. Tuynman.
Tipo de material:
TextoSeries Mathematics and Its Applications ; 570Editor: Dordrecht : Springer Netherlands, 2005Descripción: XIV, 416 p. online resourceTipo de contenido: text Tipo de medio: computer Tipo de portador: online resourceISBN: 9781402022975Trabajos contenidos: SpringerLink (Online service)Tema(s): Mathematics | Algebra | Topological Groups | Global differential geometry | Mathematics | Differential Geometry | Topological Groups, Lie Groups | Non-associative Rings and AlgebrasFormatos físicos adicionales: Sin títuloClasificación CDD: 516.36 Clasificación LoC:QA641-670Recursos en línea: de clik aquí para ver el libro electrónico \mathfrak{A} -graded commutative linear algebra -- Linear algebra of free graded A-modules -- Smooth functions and A-manifolds -- Bundles -- The tangent space -- A-Lie groups -- Connections.
Supermanifolds and Supergroups explains the basic ingredients of super manifolds and super Lie groups. It starts with super linear algebra and follows with a treatment of super smooth functions and the basic definition of a super manifold. When discussing the tangent bundle, integration of vector fields is treated as well as the machinery of differential forms. For super Lie groups the standard results are shown, including the construction of a super Lie group for any super Lie algebra. The last chapter is entirely devoted to super connections. The book requires standard undergraduate knowledge on super differential geometry and super Lie groups.
ZDB-2-SMA
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