Crystal Bases for Quantum Generalized Kac-Moody Algebras

Kyeonghoon Jeong, Seok-Jin Kang, Masaki Kashiwara

In this paper, we develop the crystal basis theory for quantum generalized Kac-Moody algebras. For a quantum generalized Kac-Moody algebra $U_q(\mathfrak{g})$, we first introduce th…