21 citations · 102 across the 49 of their papers we have counts for
5 papers · 1 filter
X = K under review
Cedric Lecouvey, Masato Okado, Mark Shimozono
We review the X = K conjecture and important ingredients for the proof. We also attach notes on the rank estimate for the X = K theorem to hold and on the strange relation that was…
Affine crystals, one-dimensional sums and parabolic Lusztig q-analogues
Cedric Lecouvey, Masato Okado, Mark Shimozono
This paper is concerned with one-dimensional sums in classical affine types. We prove a conjecture of the third author and Zabrocki by showing they all decompose in terms of one-di…
Lusztig's q-analogue of weight multiplicity and one-dimensional sums for affine root systems
Cedric Lecouvey, Mark Shimozono
In this paper we complete the proof of the X=K conjecture, that for every family of nonexceptional affine algebras, the graded multiplicities of tensor products of symmetric power…
An algorithm for computing the global basis of a finite dimensional irreducible or -module
Cedric Lecouvey
We describe a simple algorithm for computing the canonical basis of any irreducible finite-dimensional or -module.
An algorithm for computing the global basis of an irreducible -module
Cedric Lecouvey
We describe a simple algorithm for computing the canonical basis of any finite-dimensional -module.