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arXiv · 1207.5860

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

Peter J. McNamara
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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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BibTeXRIS

Peter J. McNamara. 2012-07-25. Finite Dimensional Representations of Khovanov-Lauda-Rouquier algebras I: Finite Type. https://arxiv.org/abs/1207.5860

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