ENGLISH

Supermanifolds and Supergroups: Basic Theory

By Gijs M. Tuynman

Book information

Publisher
Springer
Year
2004
ISBN
1402022964, 9781402022968, 9781402022975
Open Library ID
OL9450399M
Language
english
Format
DJVU
Filesize
3 MB (3193131 bytes)
Series
Mathematics and Its Applications
Edition
1
Pages
431\431
Library
Kolxo3
DPI
300
Time added
2009-07-20 03:45:11

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. Some knowledge of ordinary differential geometry is helpful when reading the text.

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