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

Published 25 Jul 2012 in math.RT and math.QA | (1207.5860v3)

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.

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Authors (1)

Peter J. McNamara

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