Invariant Tensors Formulae via Chord Diagrams
We provide an explicit algorithm to calculate invariant tensors for the adjoint representation of the simple Lie algebra sl(n), as well as arbitrary representation in terms of roots. We also obtain explicit formulae for the adjoint representations of the orthogonal and symplectic Lie algebras so(n)...
| Autores: | , |
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| Tipo de documento: | artigo |
| Data de publicação: | 2005 |
| País: | España |
| Recursos: | Universidad Complutense de Madrid (UCM) |
| Repositório: | Docta Complutense |
| Idioma: | inglês |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/50695 |
| Acesso em linha: | https://hdl.handle.net/20.500.14352/50695 |
| Access Level: | Acceso aberto |
| Palavra-chave: | 512 Álgebra 1201 Álgebra |
| Resumo: | We provide an explicit algorithm to calculate invariant tensors for the adjoint representation of the simple Lie algebra sl(n), as well as arbitrary representation in terms of roots. We also obtain explicit formulae for the adjoint representations of the orthogonal and symplectic Lie algebras so(n) and sp(n). |
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