Geometric Construction of Highest Weight Crystals for Quantum Generalized Kac-Moody Algebras
Quantum Algebra
2009-08-11 v1
Abstract
We present a geometric construction of highest weight crystals for quantum generalized Kac-Moody algebras. It is given in terms of the irreducible components of certain Lagrangian subvarieties of Nakajima's quiver varieties associated to quivers with edge loops.
Keywords
Cite
@article{arxiv.0908.1158,
title = {Geometric Construction of Highest Weight Crystals for Quantum Generalized Kac-Moody Algebras},
author = {Seok-Jin Kang and Masaki Kashiwara and Olivier Schiffmann},
journal= {arXiv preprint arXiv:0908.1158},
year = {2009}
}
Comments
17 pages, Latex