On the decomposition of Hecke polynomials over parabolic Hecke algebras
DOI10.5802/jtnb.1235OpenAlexW3191880192MaRDI QIDQ2684417
Publication date: 16 February 2023
Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2108.04535
Hecke algebrasreductive groupsCartan decompositionIwasawa decompositionHecke polynomialsSatake homomorphism
Hecke algebras and their representations (20C08) Theta series; Weil representation; theta correspondences (11F27) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Linear algebraic groups over local fields and their integers (20G25)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Reductive groups on a local field. II. Groups schemes. Existence of valuated root datum
- Parabolic extensions of a Hecke ring of the general linear group
- Comparison of the Bruhat and the Iwahori decompositions of a \(p\)-adic Chevalley group
- Representation theory and sheaves on the Bruhat-Tits building
- \(l\)-modular representations of a \(p\)-adic reductive group with \(l\neq p\)
- A positivity property of the Satake isomorphism
- A Satake isomorphism for representations modulo \(p\) of reductive groups over local fields
- Reductive groups over a local field
- Onp-adicL-Functions for GL (n) × GL (n-1) Over Totally Real Fields
- A Satake isomorphism in characteristic p
- The Satake isomorphism for special maximal parahoric Hecke algebras
- THE ACTION OF MODULAR OPERATORS ON THE FOURIER-JACOBI COEFFICIENTS OF MODULAR FORMS
- THE MULTIPLICATIVE ARITHMETIC OR SIEGEL MODULAR FORMS
- ON FACTORIZATION OF HECKE POLYNOMIALS FOR THE SYMPLECTIC GROUP OF GENUS $ n$
- Smooth representations of reductive p -ADIC groups: structure theory via types
- EXPANSION OF HECKE POLYNOMIALS OF CLASSICAL GROUPS
- Parabolic induction via the parabolic pro-𝑝 Iwahori–Hecke algebra
- The pro--Iwahori Hecke algebra of a reductive -adic group I
- Decomposition of double cosets in \(\mathfrak p\)-adic groups.
This page was built for publication: On the decomposition of Hecke polynomials over parabolic Hecke algebras
