Mathematical Foundations of Supersymmetry
Claudio Carmeli
University of Genova, ItalyLauren Caston
RAND Corporation, Santa Monica, CA, USARita Fioresi
University of Bologna, Italy
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| FrontmatterDownload pp. i–iv | |
| PrefaceDownload p. v | |
| IntroductionDownload pp. vii–ix | |
| ContentsDownload pp. xi–xiii | |
| 1 | -graded linear algebrapp. 1–27 |
| 2 | Sheaves, functors and the geometric point of viewpp. 28–44 |
| 3 | Supergeometrypp. 45–53 |
| 4 | Differentiable supermanifoldspp. 54–89 |
| 5 | The local structure of morphismspp. 90–102 |
| 6 | The Frobenius theorempp. 103–111 |
| 7 | Super Lie groupspp. 112–140 |
| 8 | Actions of super Lie groupspp. 141–153 |
| 9 | Homogeneous spacespp. 154–172 |
| 10 | Supervarieties and superschemespp. 173–201 |
| 11 | Algebraic supergroupspp. 202–230 |
| A | Lie superalgebraspp. 231–258 |
| B | Categoriespp. 259–268 |
| C | Fréchet superspacespp. 269–275 |
| Bibliographypp. 277–281 | |
| Indexpp. 283–287 |