2006/10/24 by Kyeonghoon Jeong, Seok-Jin Kang, Jeong, Kyeonghoon +5
Mathematics · #17B37 #81R50 #FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT) #math.QA #math.RT #msc:17B37 #msc:81R50
paper · pdf · doi:10.48550/arxiv.math/0610714
20 pages
arxiv created 2006/11/08 · arxiv updated 2009/12/01
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(\la).