Brauer loops and the commuting variety

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Published 21 January 2005 IOP Publishing Ltd
, , Citation Jan de Gier and Bernard Nienhuis J. Stat. Mech. (2005) P01006 DOI 10.1088/1742-5468/2005/01/P01006

1742-5468/2005/01/P01006

Abstract

We observe that the degree of the commuting variety and other related varieties occur as coefficients in the leading eigenvector of an integrable loop model based on the Brauer algebra.

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10.1088/1742-5468/2005/01/P01006