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Extended affine Lie algebras and their root systems /
This work is about extended affine Lie algebras (EALA's) and their root systems. EALA's were introduced by Høegh-Krohn and Torresani under the name irreducible quasi-simple Lie algebras. The major objective is to develop enough theory to provide a firm foundation for further study of EALA&...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , , , |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, R.I. :
American Mathematical Society,
©1997.
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| Colección: | Memoirs of the American Mathematical Society ;
no. 603. Memoirs of the American Mathematical Society ; no. 603. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Introduction
- The basic structure theory of extended affine Lie algebras ; Basics
- The Kac conjecture
- Semilattices and extended affine root systems ; Semilattices
- The structure of extended affine root systems
- Isomorphism conditions for EARS
- The classification of EARS
- Examples of extended affine Lie algebras ; A general construction of EALA's
- Examples of EALA's of simply laced type
- Examples of EALA's of type [italic capital]B[subscript ℓ], ℓ [greater than or equal to symbol] 2, and type [italic capitals]BC[subscript ℓ] ℓ [greater than or equal to symbol] 1
- Examples of EALA's of type [italic capital]C[subscript ℓ] ℓ [greater than or equal to symbol] 2
- Examples of EALA's of type [italic capital]G₂ and [italic capital]F₄
- Appendix Axiomatic theory of roots ; Sets of real roots
- Sets of roots.