Affine Mirković-Vilonen polytopes
P Baumann, J Kamnitzer, P Tingley - Publications mathématiques de l' …, 2014 - numdam.org
Each integrable lowest weight representation of a symmetrizable Kac-Moody Lie algebra g
has a crystal in the sense of Kashiwara, which describes its combinatorial properties. For a …
has a crystal in the sense of Kashiwara, which describes its combinatorial properties. For a …
Mirković–Vilonen polytopes and Khovanov–Lauda–Rouquier algebras
We describe how Mirković–Vilonen (MV) polytopes arise naturally from the categorification
of Lie algebras using Khovanov–Lauda–Rouquier (KLR) algebras. This gives an explicit …
of Lie algebras using Khovanov–Lauda–Rouquier (KLR) algebras. This gives an explicit …
Perfect bases in representation theory: three mountains and their springs
J Kamnitzer - Proc. Int. Cong. Math, 2022 - content.ems.press
In order to give a combinatorial descriptions of tensor product multiplicites for semisimple
groups, it is useful to find bases for representations which are compatible with the actions of …
groups, it is useful to find bases for representations which are compatible with the actions of …
Affine PBW bases and affine MV polytopes
D Muthiah, P Tingley - Selecta Mathematica, 2018 - Springer
We show how affine PBW bases can be used to construct affine MV polytopes, and that the
resulting objects agree with the affine MV polytopes recently constructed using either …
resulting objects agree with the affine MV polytopes recently constructed using either …
Affine PBW bases and MV polytopes in rank 2
D Muthiah, P Tingley - Selecta Mathematica, 2014 - Springer
Mirković–Vilonen (MV) polytopes have proven to be a useful tool in understanding and
unifying many constructions of crystals for finite-type Kac-Moody algebras. These polytopes …
unifying many constructions of crystals for finite-type Kac-Moody algebras. These polytopes …
MV polytopes and reduced double Bruhat cells
K Dykes - 2022 - ems.press
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 …
negative tropical points of the unipotent group of G. By fixing w from the Weyl group, we can …
MV Polytopes and Masures
T Bozec, S Gaussent - arXiv preprint arXiv:2110.14964, 2021 - arxiv.org
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 Tristan Bozec ∗ , Stéphane Gaussent † Abstract We realize affine …
Propriétés et combinatoire des bases de type canonique
P Baumann - 2012 - theses.hal.science
L'étude des représentations d'un groupe algébrique complexe semi-simple connexe G est
généralement menée en choisissant un sous-groupe de Borel B de G et un tore maximal T …
généralement menée en choisissant un sous-groupe de Borel B de G et un tore maximal T …
Mirkovic-Vilonen Polytopes and Masures
T Bozec, S Gaussent - 2021 - hal.science
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 …
Preprint submitted on 27 Oct 2021 HAL is a multi-disciplinary open access archive for the …
[PDF][PDF] Discipline: Mathématiques
E Casbi - 2020 - imj-prg.fr
L'aboutissement de cette thèse de doctorat représente avant tout le début d'une nouvelle
phase de ma formation; cette première expérience de recherche m'a donné la chance de …
phase de ma formation; cette première expérience de recherche m'a donné la chance de …