Locally extended affine Lie algebras
| Autor: | Yoji Yoshii, Jun Morita |
|---|---|
| Rok vydání: | 2006 |
| Předmět: |
Algebra and Number Theory
Mathematics - Rings and Algebras Affine Lie algebra Connection (mathematics) Lie conformal algebra Algebra Adjoint representation of a Lie algebra Affine representation Rings and Algebras (math.RA) Affine root system Lie algebra FOS: Mathematics ComputingMethodologies_DOCUMENTANDTEXTPROCESSING Affine transformation Representation Theory (math.RT) Mathematics::Representation Theory Mathematics - Representation Theory Mathematics |
| Zdroj: | Journal of Algebra. 301:59-81 |
| ISSN: | 0021-8693 |
| DOI: | 10.1016/j.jalgebra.2005.06.013 |
| Popis: | application/pdf We propose a new simplified definition of extended affine Lie algebras (EALAs for short), and also discuss a general version of extended affine Lie algebras, called locally extended affine Lie algebras (local EALAs for short). We prove a conjecture by V. Kac for local EALAs. It turns out that the root system of a local EALA becomes a locally finite version of an extended affine root system. Several examples of new EALAs and local EALAs are introduced, and finally we classify local EALAs of nullity 0 and show the connection to locally finite split simple Lie algebras. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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