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Brauer loops and the commuting variety

Jan de Gier·Bernard Nienhuis
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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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Jan de Gier, Bernard Nienhuis. 2004-10-18. Brauer loops and the commuting variety. https://doi.org/10.1088/1742-5468/2005/01/p01006

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