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

2017/03/30 by Baptiste Calmès, Calmès, Baptiste, Kirill Zainoulline +3
Mathematics · #14F43 #20C08 #20G44 #57T15 #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #FOS: Mathematics #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.1703.10641

openalex publication_date 2017/03/30 · openalex created_date 2019/07/30 · openalex updated_date 2026/07/28

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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