Polyhedral realization of crystal bases for generalized Kac-Moody algebras

초록

In this paper, we give a polyhedral realization of the crystal B (infinity) of U-q(-) (g) 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.

키워드