Séminaire Lotharingien de Combinatoire, 78B.46 (2017), 12 pp.

Gabriel Frieden

Rational Lift of the Combinatorial R-Matrix

Abstract. We present a rational lift of the combinatorial R-matrix for tensor products of rectangular tableaux. The key ingredients are a connection between the product of rectangular tableaux (in the plactic monoid) and multiplication of certain "tableau matrices," and a birational map from these matrices to the Grassmannian.

Received: November 14, 2016. Accepted: February 17, 2017. Final version: April 1, 2017.

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