Mirković–Vilonen polytopes and Khovanov–Lauda–Rouquier algebras
Mirković–Vilonen polytopes and Khovanov–Lauda–Rouquier algebras
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London, UK: London Mathematical Society
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English
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London, UK: London Mathematical Society
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We describe how Mirković–Vilonen (MV) polytopes arise naturally from the categorification of Lie algebras using Khovanov–Lauda–Rouquier (KLR) algebras. This gives an explicit description of the unique crystal isomorphism between simple representations of KLR algebras and MV polytopes. MV polytopes, as defined from the geometry of the affine Grassma...
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Mirković–Vilonen polytopes and Khovanov–Lauda–Rouquier algebras
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TN_cdi_proquest_miscellaneous_1835600840
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https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_miscellaneous_1835600840
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ISSN
0010-437X
E-ISSN
1570-5846
DOI
10.1112/S0010437X16007338
