Séminaire Lotharingien de Combinatoire, 78B.46 (2017), 12 pp.
Rational Lift of the Combinatorial R-Matrix
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.
The following versions are available: