Supermanifolds and Supergroups
Basic Theory
Seiten
2004
Springer-Verlag New York Inc.
978-1-4020-2296-8 (ISBN)
Springer-Verlag New York Inc.
978-1-4020-2296-8 (ISBN)
Supermanifolds and Supergroups explains the basic ingredients of super manifolds and super Lie groups. For super Lie groups the standard results are shown, including the construction of a super Lie group for any super Lie algebra.
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.
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.
$$ /mathfrak{A} $$ -graded commutative linear algebra.- Linear algebra of free graded A-modules.- Smooth functions and A-manifolds.- Bundles.- The tangent space.- A-Lie groups.- Connections.
| Reihe/Serie | Mathematics and Its Applications ; 570 | Mathematics and Its Applications ; 570 |
|---|---|
| Zusatzinfo | XIV, 416 p. |
| Verlagsort | New York, NY |
| Sprache | englisch |
| Maße | 156 x 232 mm |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
| Mathematik / Informatik ► Mathematik ► Geometrie / Topologie | |
| ISBN-10 | 1-4020-2296-4 / 1402022964 |
| ISBN-13 | 978-1-4020-2296-8 / 9781402022968 |
| Zustand | Neuware |
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