5 papers · 1 filter
A generalization of quantum Lakshmibai-Seshadri paths for arbitrary weights
Takafumi Kouno, Satoshi Naito
We construct an injective weight-preserving map (called the forgetful map) from the set of all admissible subsets in the quantum alcove model associated to an arbitrary weight. The…
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…
Quantum K-theory Chevalley formulas in the parabolic case
Takafumi Kouno, Cristian Lenart, Satoshi Naito +3
We derive cancellation-free Chevalley-type multiplication formulas in the T-equivariant quantum K-theory of Grassmannians of type A and C, and also those of two-step flag manifolds…
New structure on the quantum alcove model with applications to representation theory and Schubert calculus
Takafumi Kouno, Cristian Lenart, Satoshi Naito
The quantum alcove model associated to a dominant weight plays an important role in many branches of mathematics, such as combinatorial representation theory, the theory of Macdona…
Decomposition of tensor products of Demazure crystals
Takafumi Kouno
A Demazure crystal is the basis at of a Demazure module. Demazure crystals play an important role in Schubert calculus because the character of a Demazure crystal in type A i…