Supermanifolds and Supergroups Basic Theory /

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 fi...

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Bibliographic Details
Main Author: Tuynman, Gijs M. (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:English
Published: Dordrecht : Springer Netherlands, 2005.
Series:Mathematics and Its Applications ; 570
Subjects:
Online Access:Full Text via HEAL-Link
Description
Summary: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.
Physical Description:XIV, 416 p. online resource.
ISBN:9781402022975