Polyhedral realization of the highest weight crystals for generalized Kac-Moody algebras

초록

In this paper, we give a polyhedral realization of the highest weight crystals B(lambda) associated with the highest weight modules V (lambda) for the generalized Kac-Moody algebras. As applications, we give explicit descriptions of crystals for the generalized Kac-Moody algebras of ranks 2, 3, and Monster algebras.

키워드