Polyhedral realization of crystal bases for generalized Kac�Moody algebras

• Autores: Dong-Uy Shin
• Localización: Journal of the London Mathematical Society, ISSN 0024-6107, Vol. 77, Nº 2, 2008, págs. 273-286
• Idioma: inglés
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• Resumen

  • In this paper, we give a polyhedral realization of the crystal B() of Uq�() for the generalized Kac�Moody algebras. As applications, we give explicit descriptions of crystals for the generalized Kac�Moody algebras of rank 2 and 3, and Monster Lie algebras.