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

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23 pages

Algebra and Representation Theory, 23, 2020, p. 1031-1050
(1st online appearance of the preprint on the 30-3-2017)

MSC 2010: 20C08, 20G44, 14F43, 57T15

As in the papers Invariants, torsion indices and oriented cohomology of flag varieties, A coproduct structure on the formal affine Demazure algebra and Formal Hecke algebras and algebraic oriented cohomology theories, we study a combinatorial object, associated to a formal group law and a root system, called Demazure algebra, and denoted by D. Here, we consider the case of a Kac-Moody root system, so possibly infinite.

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