ENGLISH

Supermanifolds and Supergroups: Basic Theory

By Gijs M. Tuynman (auth.)

Book information

Publisher
Springer Netherlands
Year
2005
ISBN
1402022964, 9781402022968
DOI
10.1007/1-4020-2297-2
Open Library ID
OL9450399M
Language
english
Format
PDF
Filesize
7 MB (7758930 bytes)
Series
Mathematics and Its Applications 570
Edition
1
Pages
416\431
Time added
2011-06-04 13:46:07
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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