Regularization theorems in Lie algebra cohomology. Applications
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Publication:786942
DOI10.1215/S0012-7094-83-05028-7zbMath0528.22010WikidataQ115240192 ScholiaQ115240192MaRDI QIDQ786942
Publication date: 1983
Published in: Duke Mathematical Journal (Search for Journal in Brave)
regularizationcomplex of smooth complex valued differential formsconnected semi-simple Lie groupinfinite dimensional modulesL2- cohomologyrelative Lie algebra cohomologytorsion-free discrete subgroup
Semisimple Lie groups and their representations (22E46) Cohomology of Lie (super)algebras (17B56) Continuous cohomology of Lie groups (22E41)
Related Items (25)
Unnamed Item ⋮ Finiteness of Mordell-Weil groups of Kuga fiber spaces of abelian varieties ⋮ On the Eisenstein cohomology of arithmetic groups ⋮ THE AUTOMORPHIC COHOMOLOGY AND THE RESIDUAL SPECTRUM OF HERMITIAN GROUPS OF RANK ONE ⋮ On the cuspidal cohomology of arithmetic subgroups of SL(2n) and the first Betti number of arithmetic 3-manifolds ⋮ Non-minimal modular symbols for GL(n) ⋮ Invariants, cohomology, and automorphic forms of higher order ⋮ Endoscopic transfer and automorphic L-functions: The case of the general spin group and the twisted symmetric and exterior square L-functions ⋮ Control theorems of $p$-nearly ordinary cohomology groups for $\text {SL} (n)$ ⋮ A GLUING FORMULA FOR THE ANALYTIC TORSION ON HYPERBOLIC MANIFOLDS WITH CUSPS ⋮ Eisenstein series for rank one unitary groups and some cohomological applications ⋮ On higher regulators of Siegel threefolds II: the connection to the special value ⋮ Higher regulators, Hilbert modular surfaces, and special values of \(L\)-functions ⋮ Restriction of the holomorphic cohomology of a Shimura variety to a smaller Shimura variety. ⋮ Harmonic analysis in weighted L2-spaces ⋮ Correction and complement to the paper: Regularization theorems in Lie algebra cohomology. Applications ⋮ Inner cohomology of \(\mathrm{GL}_n\) ⋮ Eisenstein Cohomology and Automorphic L-Functions ⋮ On mixed Hodge structures of Shimura varieties attached to inner forms of the symplectic group of degree two ⋮ Unnamed Item ⋮ The residual Eisenstein cohomology of $Sp_{4}$ over a totally real number field ⋮ \(L^ 2\)-cohomology of locally symmetric manifolds of finite volume ⋮ On limit multiplicities of discrete series representations in spaces of automorphic forms ⋮ Weighted cohomology ⋮ Eisenstein series and cohomology of arithmetic groups: The generic case
Cites Work
- \(L^ 2\)-cohomology of locally symmetric manifolds of finite volume
- On the functional equations satisfied by Eisenstein series
- Cohomology of Lie algebras
- Stable and 𝐿²-cohomology of arithmetic groups
- Homologie et cohomologie des algèbres de Lie
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