Clifford algebras and lie theory
This monograph provides an introduction to the theory of Clifford algebras, with an emphasis on its connections with the theory of Lie groups and Lie algebras. The book starts with a detailed presentation of the main results on symmetric bilinear forms and Clifford algebras. It develops the spin gro...
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Livre numérique |
| Lingua: | Anglais |
| Pubblicazione: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer
[20..].
Cham : Springer Nature |
| Serie: | Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics
58 |
| Soggetti: | |
| Accesso online: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Clifford algebras and Lie theory, Eckhard Meinrenken, 2013, Berlin, Springer, 1 vol. (XX-321 p.), Ergebnisse der Mathematik und ihrer Grenzgebiete, 978-3-642-36215-6 |
Sommario:
- Preface Conventions List of Symbols 1 Symmetric bilinear forms 2 Clifford algebras 3 The spin representation 4 Covariant and contravariant spinors 5 Enveloping algebras 6 Weil algebras 7 Quantum Weil algebras 8 Applications to reductive Lie algebras 9 D(g; k) as a geometric Dirac operator 10 The Hopf Koszul Samelson Theorem 11 The Clifford algebra of a reductive Lie algebra A Graded and filtered super spaces B Reductive Lie algebras C Background on Lie groups References Index