Basic functions and unramified local \(L\)-factors for split groups
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Publication:2361005
DOI10.1007/s11425-015-0730-4zbMath1437.11077arXiv1311.2434OpenAlexW2963849785MaRDI QIDQ2361005
Publication date: 29 June 2017
Published in: Science China. Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1311.2434
Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70)
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Cites Work
- Unnamed Item
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- Spherical varieties and integral representations of L-functions
- Homogeneous spaces and equivariant embeddings
- On the spectral side of Arthur's trace formula -- absolute convergence
- Generalised Kostka-Foulkes polynomials and cohomology of line bundles on homogeneous vector bundles
- Espaces homogènes sphériques. (Spherical homogeneous spaces)
- Singularités rationnelles et quotients par les groupes réductifs. (Rational singularities and quotients by reductive groups)
- Characters of the nullcone
- On the local Hecke series of some classical groups over \(\mathfrak p\)-adic fields
- Spherical functions and a \(q\)-analogue of Kostant's weight multiplicity formula
- Representations of Coxeter groups and Hecke algebras
- Cohomology and the resolution of the nilpotent variety
- On the collapsing of homogeneous bundles
- Line bundles on the cotangent bundle of the flag variety
- Algebraic geometry IV: linear algebraic groups, invariant theory. Transl. from the Russian by G.A. Kandall
- Nonabelian Fourier transforms for spherical representations
- Linear algebraic monoids.
- Kernels of Langlands automorphic transfer and nonlinear Poisson formulas
- Inverse Satake transforms
- On the \(\zeta\)-functions of a division algebra
- Zeta functions of simple algebras
- Theory of spherical functions on reductive algebraic groups over p-adic fields
- On the formal arc space of a reductive monoid
- Introduction to Toric Varieties. (AM-131)
- Limits of Weight Spaces, Lusztig's q-Analogs, and Fiberings of Adjoint Orbits
- Polytopes, Rings, and K-Theory
- LA FORMULE DE PLANCHEREL POUR LES GROUPES p-ADIQUES. DAPRS HARISH-CHANDRA
- ON MODULAR CORRESPONDENCES FOR SP(N, Z ) AND THEIR CONGRUENCE RELATIONS
- A characterization of rational singularities
