Abstract Crystals for Quantum Generalized Kac-Moody Algebras

Details Abstract Crystals for Quantum Generalized Kac-Moody Algebras Abstract Crystals for Quantum Generalized Kac-Moody Algebras

2006-10-24

arxiv.org/abs/math/0610714v2

Mathematics

Quantum Algebra

20 pages

Scientific paper

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

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