On Iwahori-Hecke algebras for p-adic loop groups: double coset basis and Bruhat order

DOI10.1353/ajm.2018.0004zbMath1390.22019arXiv1502.00525OpenAlexW2963464533MaRDI QIDQ5374321

Dinakar Muthiah

Publication date: 10 April 2018

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.00525

zbMATH Keywords

loop groupBruhat orderlength functionIwahori-Hecke algebradouble coset

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Loop groups and related constructions, group-theoretic treatment (22E67) Kac-Moody groups (20G44)

Related Items (4)

On the double-affine Bruhat order: the $\varepsilon =1$ conjecture and classification of covers in ADE type ⋮ On structure constants of Iwahori-Hecke algebras for Kac-Moody groups ⋮ Walk algebras, distinguished subexpressions, and point counting in Kac-Moody flag varieties ⋮ Classification of cocovers in the double affine Bruhat order

This page was built for publication: On Iwahori-Hecke algebras for p-adic loop groups: double coset basis and Bruhat order