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Finite dimensional representations of Khovanov–Lauda–Rouquier algebras I: Finite type
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Peter J. McNamara
Published/Copyright:
September 11, 2013
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 describe the global dimension of these algebras.
We would like to acknowledge beneficial conversations with J. Brundan, D. Bump, J. Hartwig, A. Licata, T. Nevins, A. Pang, A. Ram and P. Tingley.
Received: 2012-9-3
Revised: 2013-7-18
Published Online: 2013-9-11
Published in Print: 2015-10-1
© 2015 by De Gruyter
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Articles in the same Issue
- Frontmatter
- Stable reduction of X0(p4)
- Flows of constant mean curvature tori in the 3-sphere: The equivariant case
- The Thurston norm and twisted Alexander polynomials
- Finite dimensional representations of Khovanov–Lauda–Rouquier algebras I: Finite type
- Continuity and finiteness of the radius of convergence of a p-adic differential equation via potential theory
- On a congruence prime criterion for cusp forms on GL2 over number fields
- A note on cancellation in totally definite quaternion algebras
- Warped product Einstein metrics on homogeneous spaces and homogeneous Ricci solitons
