Constructions of Lie Algebras and their Modules
This book deals with central simple Lie algebras over arbitrary fields of characteristic zero. It aims to give constructions of the algebras and their finite-dimensional modules in terms that are rational with respect to the given ground field. All isotropic algebras with non-reduced relative root s...
Wedi'i Gadw mewn:
| Prif Awdur: | |
|---|---|
| Fformat: | Livre numérique |
| Iaith: | Anglais |
| Cyhoeddwyd: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Cyfres: | Lecture notes in mathematics
1300 |
| Pynciau: | |
| Mynediad Ar-lein: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nodyn: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Constructions of Lie algebras and their modules, George B. Seligman, 1988, Berlin, Springer-Verlag, 1 volume (VI-190 pages), Lecture notes in mathematics, 0-387-18973-4 • Constructions of Lie Algebras and their Modules, Texte imprimé, 9783662195697 |
Tabl Cynhwysion:
- An introductory example: sl(n,D)
- General considerations
- Involutorial algebras and modules for their skew elements
- Construction of modules with prescribed relative highest weights, for the isotropic algebras of chapter 3
- Construction of exceptional algebras from quadratic forms
- Representations of exceptional algebras constructed from quadratic forms
- Non-reduced excepticnal algebras with a one-dimensional root space
- Construction of modules for the super-exceptional algebras of rank one
- Complements.