Séminaire Lotharingien de Combinatoire, 80B.84 (2018), 12 pp.

Alejandro H. Morales, Igor Pak, and Greta Panova

Product Formulas for Standard Tableaux of a Family of Skew Shapes

Abstract. We give new product formulas for the number of standard Young tableaux of a six parameter family of skew shapes generalizing a formula by DeWitt and a formula of Kim and Oh. These are proved by utilizing symmetries for evaluations of factorial Schur functions and the Naruse hook length formula for skew shapes.

Received: November 14, 2017. Accepted: February 17, 2018. Final version: April 1, 2018.

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