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...
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| Päätekijä: | |
|---|---|
| Aineistotyyppi: | Livre numérique |
| Kieli: | Anglais |
| Julkaistu: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Sarja: | Lecture notes in mathematics
1300 |
| Aiheet: | |
| Linkit: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
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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 |
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| 020 | |a 9783540388647 (PDF) | ||
| 041 | 0 | |a eng | |
| 082 | |a 512.55 | ||
| 082 | |a 510 | ||
| 084 | |a 17B10. 1980 | ||
| 084 | |a 17B20. 1980 | ||
| 084 | |a 17C40. 1980 | ||
| 084 | |a 15A66. 1980 | ||
| 100 | 1 | |a Seligman, George Benham, |d 1927-2024. | |
| 245 | 1 | 0 | |a Constructions of Lie Algebras and their Modules |c George B. Seligman. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1300 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a 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. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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 systems are treated, along with classical anisotropic algebras. The latter are treated by what seems to be a novel device, namely by studying certain modules for isotropic classical algebras in which they are embedded. In this development, symmetric powers of central simple associative algebras, along with generalized even Clifford algebras of involutorial algebras, play central roles. Considerable attention is given to exceptional algebras. The pace is that of a rather expansive research monograph. The reader who has at hand a standard introductory text on Lie algebras, such as Jacobson or Humphreys, should be in a position to understand the results. More technical matters arise in some of the detailed arguments. The book is intended for researchers and students of algebraic Lie theory, as well as for other researchers who are seeking explicit realizations of algebras or modules. It will probably be more useful as a resource to be dipped into, than as a text to be worked straight through. | ||
| 650 | |a Lie, Algèbres de | ||
| 650 | |a Modules (algèbre) | ||
| 650 | |a Groupes topologiques | ||
| 776 | 0 | |0 020617720 |t Constructions of Lie algebras and their modules |f George B. Seligman |d 1988 |c Berlin |n Springer-Verlag |p 1 volume (VI-190 pages) |s Lecture notes in mathematics |z 0-387-18973-4 | |
| 776 | 0 | |t Constructions of Lie Algebras and their Modules |b Texte imprimé |z 9783662195697 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/BFb0079295 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-GW6SCKJ0-F |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:750634782 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/BFb0079295 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:753991039 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/BFb0079295 |z Accès INSA CVL | |
| 997 | |0 972610 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||