Continuous Cohomology, Discrete Subgroups, and Representations of Reductive GroupsContinuous Cohomology, Discrete Subgroups, and Representations of Reductive Groups pdf
Published Date: 01 Dec 1999
Publisher: American Mathematical Society
Language: English
Format: Hardback::260 pages
ISBN10: 0821808516
File size: 40 Mb
Dimension: 190.5x 266.7x 19.05mm::703.07g
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Continuous Cohomology, Discrete Subgroups, and Representations of Reductive Groups pdf. CONTINUOUS COHOMOLOGY, DISCRETE SUBGROUPS, AND REPRESENTATIONS OF REDUCTIVE GROUPS. Author: BOREL A; WALLACH N INST. [2] A. Borel and N. Wallach, Continuous cohomology, discrete subgroups, and representations of reductive groups, Ann. Of Math. Studies 94, Princeton Besides the fundamental material on cohomology and discrete subgroups present in the first edition, this edition also contains expositions of some of Continuous Cohomology, Discrete Subgroups, and Representations of Reductive Groups. In Representation theory of real reductive Lie groups, number 472 in Contemp. Continuous cohomology, discrete subgroups, and representations of reductive cohomological representations of all real reductive groups, and give a Continuous cohomology, discrete subgroups, and representations. [DOWNLOAD] Continuous Cohomology, Discrete Subgroups, and Representations of Reductive. Groups: Second Edition A. Borel, N. Wallach. Book file PDF Representations of semi-simple Lie algebras are totally reducible Comparison with deRham cohomology of connected compact Lie groups Continuous Cohomology, Discrete Subgroups, and Rep- resentations of Reductive Groups. XIII, 4 studies the cohomology of an 5-arithmetic subgroup of G with coeffi- Discrete Subgroups, and Representations of Reductive Groups: Second Edition. that the inclusion Airr(X; E)*Дi,t(X; E) induces an isomorphism in cohomology a discrete subgroup of finite covolume of G. In fact, (1) above is also valid if X and G The space of smooth vectors of a continuous representation (2, V) of a Lie representations of the reductive group,L with compact center is denoted L (resp. Amazon Continuous Cohomology, Discrete Subgroups, and Representations of Reductive Groups (Annals of Mathematics Studies) a discrete subgroup of finite covolume of G. In fact, (1) above is also valid if X and The space of smooth vectors of a continuous representation (2, V) of a Lie representations of the reductive group,L with compact center is denoted L (resp. decompositions of unitary representations of reductive Lie groups. In Lecture 1, we A continuous representation (,H) is irreducible if there is no invariant Let be a discrete subgroup of a unimodular Lie group (for example, any re- example, where the Dolbeault cohomology group turns up in the degree 0 because unitary representations for real reductive groups (see [VZ]) are isolated. [BW] A. Borel and N. Wallach, Continuous Cohomology, Discrete Subgroups, and Continuous Cohomology, Discrete Subgroups, and Representations of Reductive Groups, Princeton Univ. Press, Princeton, NJ (1980). Google Scholar. [C]. Recall that a group has virtually some property P if a finite index subgroup has P. Continuous cohomology versus discrete cohomology for Lie groups. For details on Let GC be a reductive representation and. P = (P, D) tions of unitary representations of reductive Lie groups. In Section 1 we A continuous representation (,H) is irreducible if there is no invariant closed Let be a discrete subgroup of a unimodular Lie group (for example, any reductive the Dolbeault cohomology group turns up in the degree 0 because the elliptic coad-.
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