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Supermanifolds and Supergroups : Basic Theory. 2004 ed..
・ISBN 978-1-4020-2296-8 hard EUR 99.99
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| 著者・編者 | Tuynman, Gijs M., |
|---|---|
| シリーズ | Mathematics and Its Applications |
| 出版社 | (Springer-Verlag New York Inc., US) |
| 出版年月 | 2004 |
| ページ数 | 416 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-23556＞ |
解説
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.