Séminaire Lotharingien de Combinatoire, 78B.5 (2017), 12 pp.

Agnieszka Czyzewska-Jankowska and Piotr Śniady

Jack Characters and Enumeration of Maps

Abstract. Jack characters provide dual information about Jack symmetric functions. We give explicit formulas for the top-degree part of these Jack characters in terms of bicolored oriented maps with an arbitrary face structure.

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

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