Zobrazeno 1 - 10
of 46
pro vyhledávání: '"Gaussent, Stéphane"'
Autor:
Bozec, Tristan, Gaussent, Stéphane
We realize affine Mirkovi{\'c}-Vilonen polytopes using Littelmann's path model in the framework of masures. We are also able to read the decorations on the paths in the case of sl2.
Externí odkaz:
http://arxiv.org/abs/2110.14964
The geometric Satake correspondence can be regarded as a geometric construction of the rational representations of a complex connected reductive group G. In their study of this correspondence, Mirkovi\'c and Vilonen introduced algebraic cycles that p
Externí odkaz:
http://arxiv.org/abs/2009.00042
For an almost split Kac-Moody group G over a local non-archimedean field, the last two authors constructed a spherical Hecke algebra H (over the complex numbers C, say) and its Satake isomorphism with the commutative algebra of Weyl invariant element
Externí odkaz:
http://arxiv.org/abs/1709.05212
Akademický článek
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Publikováno v:
Pacific J. Math. 285 (2016) 1-61
We define the Iwahori-Hecke algebra for an almost split Kac-Moody group over a local non-archimedean field. We use the hovel associated to this situation, which is the analogue of the Bruhat-Tits building for a reductive group. The fixer K of some ch
Externí odkaz:
http://arxiv.org/abs/1412.7503
Let g = n^- + h + n^+ be a symmetrizable Kac-Moody algebra. Let B(\infty) be the Kashiwara crystal of U_q(n^-), let \lambda be a dominant integral weight, let T_\lambda = {t_\lambda} be the crystal with one element of weight \lambda, and let B(\lambd
Externí odkaz:
http://arxiv.org/abs/1210.6464
We give a geometric interpretation of the Knuth equivalence relations in terms of the affine Gra{\ss} mann variety. The Young tableaux are seen as sequences of coweights, called galleries. We show that to any gallery corresponds a Mirkovi\'c-Vilonen
Externí odkaz:
http://arxiv.org/abs/1210.1308
Publikováno v:
Compositio Mathematica 151 (2014) 957-998
We compute coherent presentations of Artin monoids, that is presentations by generators, relations, and relations between the relations. For that, we use methods of higher-dimensional rewriting that extend Squier's and Knuth-Bendix's completions into
Externí odkaz:
http://arxiv.org/abs/1203.5358
Autor:
Gaussent, Stéphane, Rousseau, Guy
We define the spherical Hecke algebra H for an almost split Kac-Moody group G over a local non-archimedean field. We use the hovel I associated to this situation, which is the analogue of the Bruhat-Tits building for a reductive group. The stabilizer
Externí odkaz:
http://arxiv.org/abs/1201.6050
This is a survey about the connection between the representation theory of a semisimple group and the geometry of an affine building. The latter is, actually, associated to the Langlands'dual of the semisimple group. We deal, mainly, with the proof o
Externí odkaz:
http://arxiv.org/abs/1007.3803