Some Examples of Hecke Algebras for Two-Dimensional Local Fields

DOI10.1017/S0027763000009314zbMath1124.22006arXivmath/0510538MaRDI QIDQ3442447

Alexander Braverman, D. A. Kazhdan

Publication date: 18 May 2007

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0510538

zbMATH Keywords

Hecke algebrastwo-dimensional local fields

Mathematics Subject Classification ID

Loop groups and related constructions, group-theoretic treatment (22E67) Representations of Lie and linear algebraic groups over global fields and adèle rings (22E55)

Related Items

Characteristic functions of 𝑝-adic integral operators ⋮ Semi-infinite Schubert varieties and quantum 𝐾-theory of flag manifolds ⋮ Is there an analytic theory of automorphic functions for complex algebraic curves? ⋮ Automorphic functions on moduli spaces of bundles on curves over local fields: a survey ⋮ Hecke operators and analytic Langlands correspondence for curves over local fields ⋮ Analysis on arithmetic schemes. II ⋮ Decomposition of matrices over a two-dimensional local field.

Cites Work

• Demazure character formula in arbitrary Kac-Moody setting
• The arithmetic theory of loop groups. II: The Hilbert-modular case
• Central extensions of simply connected algebraic groups and Galois cohomology
• Algebraic loop groups and moduli spaces of bundles
• Representations of algebraic groups over a 2-dimensional local field
• Higher algebraic K-theory: I
• Double affine Hecke algebras and 2-dimensional local fields
• Derived Varieties of Complexes and Kostant’s Theorem for $$\mathfrak{gl}(\mathrm{m}|\mathrm{n})$$
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Some Examples of Hecke Algebras for Two-Dimensional Local Fields