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Abstract Crystals for Quantum Generalized Kac-Moody Algebras

Kyeonghoon Jeong, Seok-Jin Kang, Masaki Kashiwara, Dong-Uy Shin

math.QAarXiv:math/0610714

Abstract

In this paper, we introduce the notion of abstract crystals for quantum generalized Kac-Moody algebras and study their fundamental properties. We then prove the crystal embedding theorem and give a characterization of the crystals B(∞) and B().

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