68 citations · 280 across the 41 of their papers we have counts for
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Pieri-type multiplication formula for quantum Grothendieck polynomials
Satoshi Naito, Daisuke Sagaki
The purpose of this paper is to prove a Pieri-type multiplication formula for quantum Grothendieck polynomials, which was conjectured by Lenart-Maeno. This formula would enable us…
Symmetric and Nonsymmetric Macdonald Polynomials via a Path Model with a Pseudo-crystal Structure
Cristian Lenart, Satoshi Naito, Fumihiko Nomoto +1
In this paper we derive a counterpart of the well-known Ram-Yip formula for symmetric and nonsymmetric Macdonald polynomials of arbitrary type. Our new formula is in terms of a gen…
Identities of inverse Chevalley type for graded characters of level-zero Demazure submodules over quantum affine algebras of type C
Takafumi Kouno, Satoshi Naito, Daniel Orr
We provide identities of inverse Chevalley type for the graded characters of level-zero Demazure submodules of extremal weight modules over a quantum affine algebra of type . Th…
Closed -Schur Katalan functions as -homology Schubert representatives of the affine Grassmannian
Takeshi Ikeda, Shinsuke Iwao, Satoshi Naito
Recently, Blasiak-Morse-Seelinger introduced symmetric functions called Katalan functions, and proved that the -theoretic -Schur functions due to Lam-Schilling-Shimozono form…