Iwahori-Hecke algebras for Kac-Moody groups over local fields
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Publication:318314
DOI10.2140/pjm.2016.285.1zbMath1347.17011arXiv1412.7503OpenAlexW767862215MaRDI QIDQ318314
Stéphane Gaussent, Guy Rousseau, Nicole Bardy-Panse
Publication date: 5 October 2016
Published in: Pacific Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1412.7503
Hecke algebras and their representations (20C08) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Groups with a (BN)-pair; buildings (20E42) Kac-Moody groups (20G44)
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Principal series representations of Iwahori-Hecke algebras for Kac-Moody groups over local fields ⋮ Erratum to: ``Completed Iwahori-Hecke algebra and parahoric Hecke algebras for Kac-Moody groups over local fields ⋮ Decompositions of principal series representations of Iwahori-Hecke algebras for Kac-Moody groups over local fields ⋮ Groupes de Kac-Moody déployés n corps local II. Masures ordonnées ⋮ A New Axiomatics for Masures ⋮ Kato’s irreducibility criterion for Kac-Moody groups over local fields ⋮ Correction factors for Kac-Moody groups and \(t\)-deformed root multiplicities ⋮ Completed Iwahori-Hecke algebras and parahoric Hecke algebras for Kac-Moody groups over local fields ⋮ Character expansion of Kac-Moody correction factors ⋮ On structure constants of Iwahori-Hecke algebras for Kac-Moody groups ⋮ Double Affine Hecke Algebras and Congruence Groups ⋮ The cone topology on masures. With an appendix by Auguste Hébert (Université de Lyon) ⋮ Walk algebras, distinguished subexpressions, and point counting in Kac-Moody flag varieties ⋮ On the convergence of the Kac-Moody correction factor ⋮ A new axiomatics for masures. II
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