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arXiv:1207.5860 [math.RT]AbstractReferencesReviewsResources

Finite Dimensional Representations of Khovanov-Lauda-Rouquier algebras I: Finite Type

Peter J. McNamara

Published 2012-07-25, updated 2013-07-18Version 3

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.

Comments: 21pp
Categories: math.RT, math.QA
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