scientific article; zbMATH DE number 203013

zbMath0795.11025MaRDI QIDQ4694947

Joachim Schwermer, Jian-Shu Li

Publication date: 16 June 1993

Full work available at URL: http://www.numdam.org/item?id=CM_1993__87_1_45_0

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Eisenstein seriescohomology classesautomorphic formsarithmetic subgrouprelative Lie algebra cohomologyirreducible automorphic representationnon-vanishing resultsglobal theta lifting

Mathematics Subject Classification ID

Representation-theoretic methods; automorphic representations over local and global fields (11F70) Cohomology of arithmetic groups (11F75)

Related Items

Boundary and Eisenstein cohomology of \(G_2(\mathbb{Z})\), On the Eisenstein cohomology of arithmetic groups, Two reductive dual pairs in groups of type \(E\), Geometric cycles with local coefficients and the cohomology of arithmetic subgroups of the exceptional group \(G_{2}\), Geometric cycles, arithmetic groups and their cohomology, A construction of residues of Eisenstein series and related square-integrable classes in the cohomology of arithmetic groups of low \(k\)-rank, Eisenstein series and cohomology of arithmetic groups: The generic case

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Theta lifting for unitary representations with nonzero cohomology
• Composition algebras and their automorphisms
• \(L^ 2\)-cohomology of locally symmetric manifolds of finite volume
• Arithmeticity of the irreducible lattices in the semi-simple groups of rank greater than 1
• Correspondance de Howe pour les paires reductives duales: Quelques calculs dans le cas archimédien. (Howe correspondence for dual reductive pairs: Some calculations in the Archimedean case)
• Singular unitary representations of classical groups
• On liftings and cusp cohomology of arithmetic groups
• Eisenstein cohomology of arithmetic groups. The case \(GL_ 2\)
• Howe correspondences on a \(p\)-adic field
• On the Ramanujan conjecture and finiteness of poles for certain \(L\)-functions
• Mixed Hodge structures and automorphic forms for Siegel modular varieties of degree two
• Some applications of the Weil representation
• Representations of real reductive Lie groups
• On the functional equations satisfied by Eisenstein series
• A non-vanishing theorem for zeta functions of \(\mathrm{GL}_n\)
• Weil's representation and the spectrum of the metaplectic group
• On the Segal-Shale-Weil representations and harmonic polynomials
• Représentations supercuspidales du groupe metaplectique
• On some results of Strichartz and of Rallis and Schiffman
• Spectral decomposition and Eisenstein series
• Eisenstein series and cohomology of arithmetic groups: The generic case
• Kohomologie arithmetisch definierter Gruppen und Eisensteinreihen
• La conjecture de Weil. I
• Discrete spectrum of the reductive dual pair \((\mathrm{O}(p,q),\mathrm{Sp}(2m))\)
• Lie algebra cohomology and the generalized Borel-Weil theorem
• Représentations unitaires des groupes symplectiques. (Unitary representations of symmetric groups.)
• Zeta functions of simple algebras
• Theta Correspondence Associated to G 2
• Laplacian and the Discrete Spectrum of an Arithmetic Group
• Weil representation. I. Intertwining distributions and discrete spectrum
• Introduction to Harmonic Analysis on Reductive P-adic Groups. (MN-23): Based on lectures by Harish-Chandra at The Institute for Advanced Study, 1971-73
• On Certain L-Functions
• On Euler Products and the Classification of Automorphic Representations I
• Non-vanishing theorems for the cohomology of certain arithmetic quotients.
• Automorphic cusp forms constructed from the Weil representation
• Discrete spectrum of the Weil representation
• Introduction to Lie Algebras and Representation Theory