Intrinsic formulae for the Casimir operators of semidirect products of the exceptional Lie algebra G2 and a Heisenberg Lie algebra

We showthat the Casimir operators of the semidirect productsG2−→⊕2�(a,b)⊕�(0,0)h of the exceptional Lie algebraG2 and a Heisenberg algebra h can be constructed explicitly from the Casimir operators of G2.

Detalhes bibliográficos
Autor: Campoamor Stursberg, Otto-Rudwig
Formato: artículo
Fecha de publicación:2004
País:España
Recursos:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/50699
Acesso em linha:https://hdl.handle.net/20.500.14352/50699
Access Level:acceso abierto
Palavra-chave:512
Álgebra
1201 Álgebra
Descrição
Resumo:We showthat the Casimir operators of the semidirect productsG2−→⊕2�(a,b)⊕�(0,0)h of the exceptional Lie algebraG2 and a Heisenberg algebra h can be constructed explicitly from the Casimir operators of G2.