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Categorification of the Kazhdan-Lusztig basis of the Temperley-Lieb algebra by bimodules (1212.2336v2)

Published 11 Dec 2012 in math.RT and math.RA

Abstract: We realize the Temperley-Lieb algebra by analogues of Soergel bimodules. The key point is that the monoidal structure is not given by a usual tensor product but by a slightly more complicated operation.

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