Mirković–Vilonen polytopes and Khovanov–Lauda–Rouquier algebras

Peter Tingley; Ben Webster

doi:10.1112/S0010437X16007338

Mirković–Vilonen polytopes and Khovanov–Lauda–Rouquier algebras

Peter Tingley, Ben Webster

Department of Mathematics and Statistics

University of Virginia

Research output: Contribution to journal › Article › peer-review

Original language	American English
Journal	Compositio Mathematica
Volume	152
Issue number	8
DOIs	https://doi.org/10.1112/S0010437X16007338
State	Published - Jan 8 2016

Disciplines

Algebra
Mathematics
Discrete Mathematics and Combinatorics
Geometry and Topology

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title = "Mirkovi{\'c}–Vilonen polytopes and Khovanov–Lauda–Rouquier algebras",

author = "Peter Tingley and Ben Webster",

note = "Abstract: We describe how Mirkovic-Vilonen polytopes arise naturally from the categorification of Lie algebras using Khovanov-Lauda-Rouquier algebras. This gives an explicit description of the unique crystal isomorphism between simple representations of the KLR algebra and MV polytopes.",

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language = "American English",

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T1 - Mirković–Vilonen polytopes and Khovanov–Lauda–Rouquier algebras

AU - Tingley, Peter

AU - Webster, Ben

N1 - Abstract: We describe how Mirkovic-Vilonen polytopes arise naturally from the categorification of Lie algebras using Khovanov-Lauda-Rouquier algebras. This gives an explicit description of the unique crystal isomorphism between simple representations of the KLR algebra and MV polytopes.

PY - 2016/1/8

Y1 - 2016/1/8

UR - https://arxiv.org/abs/1210.6921

U2 - 10.1112/S0010437X16007338

DO - 10.1112/S0010437X16007338

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JO - Compositio Mathematica

JF - Compositio Mathematica

IS - 8

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Mirković–Vilonen polytopes and Khovanov–Lauda–Rouquier algebras

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