We continue the study of realization of the prefundamental modules $ L_ {r, a}^{\pm} $,
introduced by Hernandez and Jimbo, in terms of unipotent quantum coordinate rings as in [J …

We give a new realization of the prefundamental representations introduced by Hernandez
and Jimbo, when the quantum loop algebra is of types and and the-th fundamental weight …

When G is a complex reductive algebraic group, MV polytopes are in bijection with the non-
negative tropical points of the unipotent group of G. By fixing w from the Weyl group, we can …

Let U q− be the negative part of the quantum enveloping algebra associated to a simply
laced Kac-Moody Lie algebra g, and U _ q− the algebra corresponding to the orbit algebra …

Let U q− be the negative part of the quantum enveloping algebra, and σ the algebra
automorphism on U q− induced from a diagram automorphism. Let U _ q− be the quantum …

We give a new realization of the prefundamental representations L r, a introduced by
Hernandez and Jimbo, when the quantum loop algebra Uqpgq is of types Ap1q n and D p1q …

arXiv:2110.14964v1 [math.RT] 28 Oct 2021 Page 1 arXiv:2110.14964v1 [math.RT] 28 Oct 2021
MV Polytopes and Masures Tristan Bozec ∗ , Stéphane Gaussent † Abstract We realize affine …

MV Polytopes and Masures Page 1 HAL Id: hal-03406264 https://hal.science/hal-03406264
Preprint submitted on 27 Oct 2021 HAL is a multi-disciplinary open access archive for the …