Crystals and Nakajima monomials for quantum generalized Kac-Moody algebras

초록

We introduce the notion of Nakajima monomials for quantum generalized Kac-Moody algebras and construct the crystals B(infinity) and B(lambda) in terms of Nakajima monomials. We also give an explicit description of the Nakajima monomials in the crystals B(infinity) and B(lambda) for the rank 2 quantum generalized Kac-Moody algebras and for the quantum Monster algebra.

키워드