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math.RT2012★ 43 cited
Homological properties of finite type Khovanov-Lauda-Rouquier algebras
Jonathan Brundan, Alexander Kleshchev, Peter J. McNamara
We give an algebraic construction of standard modules (infinite dimensional modules categorifying the PBW basis of the underlying quantized enveloping algebra) for Khovanov-Lauda-R…
math.RT2012
Finite Dimensional Representations of Khovanov-Lauda-Rouquier algebras I: Finite Type
Peter J. McNamara
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…