Séminaire Lotharingien de Combinatoire, 82B.79 (2019), 12 pp.
Michael Chmutov, Gabriel Frieden, Dongkwan Kim, Joel B. Lewis, and Elena Yudovina
An affine generalization of evacuation
Abstract.
We establish the existence of an involution on tabloids that is analogous to Schützenberger's evacuation map on standard Young tableaux. We find that the number of its fixed points is given by evaluating a certain Green's polynomial at q = -1, and satisfies a "domino-like" recurrence relation.
Received: November 15, 2018.
Accepted: February 17, 2019.
Final version: April 1, 2019.
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