Enumeration of plane partitions by descents

Yeliussizov D.
February 2021 Academic Press Inc.

Journal of Combinatorial Theory. Series A
2021 #178

We study certain bijection between plane partitions and N-matrices. As applications, we prove a Cauchy-type identity for generalized dual Grothendieck polynomials. We introduce two statistics on plane partitions, whose generating functions are similar to classical MacMahons formulas; one of these statistics is equidistributed with the usual volume. We also show natural connections with the longest increasing subsequences of words.

Dual Grothendieck polynomials , MacMahons formulas , Plane partitions , Volume generating functions

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Kazakh-British Technical University, Almaty, Kazakhstan

Kazakh-British Technical University

10 лет помогаем публиковать статьи Международный издатель

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