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math.CO2020
MacMahon's statistics on higher-dimensional partitions
Alimzhan Amanov, Damir Yeliussizov
We study some combinatorial properties of higher-dimensional partitions which generalize plane partitions. We present a natural bijection between -dimensional partitions and …
math.CO2020★ 2 cited
Determinantal formulas for dual Grothendieck polynomials
Alimzhan Amanov, Damir Yeliussizov
We prove Jacobi-Trudi-type determinantal formulas for skew dual Grothendieck polynomials which are -theoretic deformations of Schur polynomials. We also prove a bialternant-type…