On the Iwahori-Weyl group

zbMath1342.20051arXiv1310.4635MaRDI QIDQ2811177

Timo Richarz

Publication date: 10 June 2016

Full work available at URL: https://arxiv.org/abs/1310.4635

zbMATH Keywords

affine Weyl groupsconnected reductive groupslength functionsBruhat decompositionsBruhat cellsreductive groups over local fieldsIwahori-Weyl groups

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Linear algebraic groups over local fields and their integers (20G25)

Related Items (11)

Cocenters and representations of pro-𝑝 Hecke algebras ⋮ Iwahori-Hecke algebra and unramified local \(L\)-functions ⋮ The test function conjecture for local models of Weil-restricted groups ⋮ On the connected components of affine Deligne-Lusztig varieties ⋮ COCENTERS OF -ADIC GROUPS, I: NEWTON DECOMPOSITION ⋮ The test function conjecture for parahoric local models ⋮ Endoscopic lifting of simple supercuspidal representations of unramified \(\mathrm{U}_N\) to \(\mathrm{GL}_N\) ⋮ A geometric interpretation of Newton strata ⋮ THE INTERSECTION MOTIVE OF THE MODULI STACK OF SHTUKAS ⋮ The motivic Satake equivalence ⋮ Stratifications of affine Deligne-Lusztig varieties

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