5 citations · 10 across the 5 of their papers we have counts for
5 papers
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…
Tensor product decomposition theorem for quantum Lakshmibai-Seshadri paths and standard monomial theory for semi-infinite Lakshmibai-Seshadri paths
Satoshi Naito, Fumihiko Nomoto, Daisuke Sagaki
Let be a (level-zero) dominant integral weight for an untwisted affine Lie algebra, and let denote the quantum Lakshmibai-Seshadri (QLS) paths of shape . F…
Generalized Weyl modules and Demazure submodules of level-zero extremal weight modules
Fumihiko Nomoto
We study a relationship between the graded characters of generalized Weyl modules , , over the positive part of the affine Lie algebra and those of specific quoti…
Quantum Lakshmibai-Seshadri paths and the specialization of Macdonald polynomials at in type
Fumihiko Nomoto
In this paper, we give a combinatorial realization of the crystal basis of a quantum Weyl module over a quantum affine algebra of type , and a representation-theoreti…
Specialization of nonsymmetric Macdonald polynomials at and Demazure submodules of level-zero extremal weight modules
Satoshi Naito, Fumihiko Nomoto, Daisuke Sagaki
In this paper, we give a representation-theoretic interpretation of the specialization of the nonsymmetric Macdonald polynomial …