21 citations · 102 across the 49 of their papers we have counts for
57 papers
Quantized Howe-type dualities via Koornwinder polynomials and the X=K phenomenon
Thomas Gerber, Bogdan Ion, Cédric Lecouvey +1
We derive the equality between one-dimensional sums associated with tensor products of Kirillov-Reshetikhin column crystals of classical affine types and Lusztig q-analogues of wei…
Entropy of affine permutations and universality of affine atomic lengths
Nathan Chapelier-Laget, Thomas Gerber, Nicolas Jacon +1
We introduce and study the notion of entropy of affine permutations and prove that it coincides with the atomic length associated with the sum of the fundamental weights for a type…
Crystal isomorphisms and Mullineux involution II
Nicolas Jacon, Cédric Lecouvey
We present a new combinatorial and conjectural algorithm for computing the Mullineux involution for the symmetric group and its Hecke algebra. This algorithm is built on a conjectu…
Homology rings of affine grassmannians and positively multiplicative graphs
Jérémie Guilhot, Cédric Lecouvey, Pierre Tarrago
Let be an untwisted affine Lie algebra with associated Weyl group . To any level 0 weight we associate a weighted graph that encodes the orbit of …
Non symmetric Cauchy kernel, crystals and last passage percolation
Olga Azenhas, Thomas Gobet, Cédric Lecouvey
We use non-symmetric Cauchy kernel identities to get the law of last passagepercolation models in terms of Demazure characters. The construction is basedon some restrictions of the…
Quantum cohomology of the Grassmannian and unitary Dyson Brownian motion
Jérémie Guilhot, Cédric Lecouvey, Pierre Tarrago
We study a class of commuting Markov kernels whose simplest element describes the movement of particles on a discrete circle of size conditioned to not intersect each other…