72 citations · 254 across the 18 of their papers we have counts for
4 papers · 1 filter
Fully commutative elements of the complex reflection groups
Gabriel Feinberg, Sungsoon Kim, Kyu-Hwan Lee +1
We extend the usual notion of fully commutative elements from the Coxeter groups to the complex reflection groups. Then we decompose the sets of fully commutative elements into nat…
Identities from representation theory
Se-jin Oh, Travis Scrimshaw
We give a new Jacobi--Trudi-type formula for characters of finite-dimensional irreducible representations in type using characters of the fundamental representations and non-…
Categorical relations between Langlands dual quantum affine algebras: Exceptional cases
Se-jin Oh, Travis Scrimshaw
We first compute the denominator formulas for quantum affine algebras of all exceptional types. Then we prove the isomorphisms among Grothendieck rings of categories $(…
Monoidal categorification of cluster algebras (merged version)
Seok-Jin Kang, Masaki Kashiwara, Myungho Kim +1
We prove that the quantum cluster algebra structure of a unipotent quantum coordinate ring , associated with a symmetric Kac-Moody algebra and its Weyl group…