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

Calmès, Baptiste; Zainoulline, Kirill; Zhong, Changlong

doi:10.1007/s10468-019-09880-w

Item

ITEM ACTIONSEXPORT

Add to Basket

Local TagsRelease HistoryDetailsSummary

Released

Journal Article

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

MPS-Authors

/persons/resource/persons236518

Zhong, Changlong
Max Planck Institute for Mathematics, Max Planck Society;

External Resource

https://doi.org/10.1007/s10468-019-09880-w
(Publisher version)

Fulltext (restricted access)

There are currently no full texts shared for your IP range.

Fulltext (public)

1703.10641.pdf
(Preprint), 276KB

Supplementary Material (public)

There is no public supplementary material available

Citation

Calmès, B., Zainoulline, K., & Zhong, C. (2020). Formal affine Demazure and Hecke algebras of Kac-Moody root systems. Algebras and Representation Theory, 23(3), 1031-1050. doi:10.1007/s10468-019-09880-w.

Cite as: https://hdl.handle.net/21.11116/0000-0006-BD4A-3

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.