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Formal affine Demazure and Hecke algebras of Kac-Moody root systems

Abstract : We define the formal affine Demazure algebra and formal affine Hecke algebra associated to a Kac-Moody root system. We prove the structure theorems of these algebras, hence, extending several result and construction (presentation in terms of generators and relations, coproduct and product structures, filtration by codimension of Bott-Samelson classes, root polynomials and multiplication formulas) that were previously known for finite root system.
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Preprints, Working Papers, ...
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https://hal-univ-artois.archives-ouvertes.fr/hal-02942576
Contributor : Baptiste Calmès <>
Submitted on : Friday, September 18, 2020 - 9:31:53 AM
Last modification on : Saturday, September 19, 2020 - 3:02:15 AM

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  • HAL Id : hal-02942576, version 1
  • ARXIV : 1703.10641

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Baptiste Calmès, Kirill Zainoulline, Changlong Zhong. Formal affine Demazure and Hecke algebras of Kac-Moody root systems. 2020. ⟨hal-02942576⟩

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