Rational Lift of the Combinatorial R-Matrix
Séminaire lotharingien de combinatoire, 78B (2017)
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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.
@article{SLC_2017_78B_a45,
author = {Gabriel Frieden},
title = {Rational {Lift} of the {Combinatorial} {R-Matrix}},
journal = {S\'eminaire lotharingien de combinatoire},
year = {2017},
volume = {78B},
url = {http://geodesic.mathdoc.fr/item/SLC_2017_78B_a45/}
}
Gabriel Frieden. Rational Lift of the Combinatorial R-Matrix. Séminaire lotharingien de combinatoire, 78B (2017). http://geodesic.mathdoc.fr/item/SLC_2017_78B_a45/