ENGLISH

Supermanifolds and Supergroups: Basic Theory

By Gijs M. Tuynman (auth.)

Book information

Publisher
Springer Netherlands
Year
2005
ISBN
978-1-4020-2296-8, 978-1-4020-2297-5
DOI
10.1007/1-4020-2297-2
Language
english
Format
PDF
Filesize
28 MB (29538893 bytes)
Series
Mathematics and Its Applications 570
Edition
1
Pages
416\423
Orientation
yes
Scanned
yes
Time added
2013-08-01 04:00:00
Differential Geometry; Topological GroupsLie Groups; Non-associative Rings and Algebras

Description

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.

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