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

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Baptiste Calmès
Kirill Zainoulline
  • Function : Author
Changlong Zhong
  • Function : Author

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.

Dates and versions

hal-02942576 , version 1 (18-09-2020)

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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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UNIV-ARTOIS INSMI
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