Jordan structures in Lie algebras
This book explores applications of Jordan theory to the theory of Lie algebras. It begins with the general theory of nonassociative algebras and of Lie algebras and then focuses on properties of Jordan elements of special types. Then it proceeds to the core of the book, in which the author explains...
Guardado en:
| Autor principal: | |
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| Formato: | Livre papier |
| Lenguaje: | Anglais |
| Publicado: |
Providence, Rhode Island :
American Mathematical Society
C 2019.
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| Colección: | Mathematical surveys and monographs
volume 240 |
| Materias: | |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Jordan structures in Lie algebras, Antonio Fernández López, 2019, Providence (R.I.), AMS, American Mathematical Society, 978-1-4704-5362-6 |
Tabla de Contenidos:
- Nonassociative algebras
- General facts on Lie algebras
- Absolute zero divisors
- Jordan elements
- Von Neumann regular elements
- Extremal elements
- A characterization of strong primeness
- From Lie algebras to Jordan algebras
- The Kostrikin radical
- Algebraic Lie algebras and local finiteness
- From Lie algebras to Jordan pairs
- An Artinian theory for Lie algebras
- Inner ideal structure of Lie algebras
- Classical infinite-dimensional Lie algebras
- Classical Banach-Lie algebras