Homological branching law for \((\mathrm{GL}_{n+1}(F), \mathrm{GL}_n(F))\): projectivity and indecomposability
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Publication:2041860
DOI10.1007/s00222-021-01033-5zbMath1485.11093arXiv1905.01668OpenAlexW3133211029MaRDI QIDQ2041860
Publication date: 26 July 2021
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1905.01668
Representation theory for linear algebraic groups (20G05) Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70)
Related Items (5)
Restriction for general linear groups: the local non-tempered Gan-Gross-Prasad conjecture (non-Archimedean case) ⋮ A vanishing Ext-branching theorem for \((\mathrm{GL}_{n+1}(F),\mathrm{GL}_n(F)\) ⋮ Ext-multiplicity theorem for standard representations of \((\mathrm{GL}_{n+1},\mathrm{GL}_n)\) ⋮ The Gelfand–Graev representation of classical groups in terms of Hecke algebras ⋮ Automorphic forms, geometry and arithmetic. Abstracts from the workshop held August 22--28, 2021 (hybrid meeting)
Cites Work
- Unnamed Item
- Unnamed Item
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- Unnamed Item
- Duality for Ext-groups and extensions of discrete series for graded Hecke algebras
- Multiplicity one theorems
- On parabolic induction on inner forms of the general linear group over a non-archimedean local field
- Multiplicity one theorems: the Archimedean case
- The Whittaker models of induced representations
- Projective cases for the restriction of the oscillator representation to dual pairs of type I
- On the decomposition of a representation of \(GL(3)\) restricted to \(GL(2)\) over a \(p\)-adic field
- Representation theory and sheaves on the Bruhat-Tits building
- Iwahori component of the Gelfand-Graev representation
- Euler-Poincaré characteristic for the oscillator representation
- On a duality theorem of Schneider-Stuhler
- The stable Bernstein center and test functions for Shimura varieties
- The Admissible Dual of GL(N) via Compact Open Subgroups. (AM-129)
- Affine Hecke Algebras and Their Graded Version
- Induced representations of reductive ${\germ p}$-adic groups. II. On irreducible representations of ${\rm GL}(n)$
- REPRESENTATIONS OF THE GROUPGL(n,F) WHEREFIS A NON-ARCHIMEDEAN LOCAL FIELD
- Induced representations of reductive ${\germ p}$-adic groups. I
- Generalized Whittaker models and the Bernstein center
- Periods and harmonic analysis on spherical varieties
- Classification of unitary representations in irreducible representations of general linear group (non-Archimedean case)
- Symplectic local root numbers, central critical L-values, and restriction problems in the representation theory of classical groups
- EXT-ANALOGUES OF BRANCHING LAWS
- Branching laws for classical groups: the non-tempered case
- Iwahori component of Bessel model spaces
- Bernstein–Zelevinsky Derivatives: a Hecke Algebra Approach
- On a determinantal formula of Tadić
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