Finite Dimensional Representations of Khovanov-Lauda-Rouquier algebras I: Finite Type
Representation Theory
2013-07-19 v3 Quantum Algebra
Abstract
We classify simple representations of Khovanov-Lauda-Rouquier algebras in finite type. The classification is in terms of a standard family of representations that is shown to yield the dual PBW basis in the Grothendieck group. Finally, we prove a conjecture describing the global dimension of these algebras.
Keywords
Cite
@article{arxiv.1207.5860,
title = {Finite Dimensional Representations of Khovanov-Lauda-Rouquier algebras I: Finite Type},
author = {Peter J. McNamara},
journal= {arXiv preprint arXiv:1207.5860},
year = {2013}
}
Comments
21pp