English

Abstract Crystals for Quantum Generalized Kac-Moody Algebras

Quantum Algebra 2007-05-23 v2 Representation Theory

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()B(\infty) and B(\la)B(\la).

Keywords

Cite

@article{arxiv.math/0610714,
  title  = {Abstract Crystals for Quantum Generalized Kac-Moody Algebras},
  author = {Kyeonghoon Jeong and Seok-Jin Kang and Masaki Kashiwara and Dong-Uy Shin},
  journal= {arXiv preprint arXiv:math/0610714},
  year   = {2007}
}

Comments

20 pages

R2 v1 2026-07-22T17:44:52.754Z