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Continuous Cohomology, Discrete Subgroups, and Representations of Reductive Groups: Second Edition
 
A. Borel :  Institute for Advanced Study, Princeton, NJ
N. Wallach :  University of California, San Diego, La Jolla, CA
Continuous Cohomology, Discrete Subgroups, and Representations of Reductive Groups
Softcover ISBN:  978-1-4704-1225-8
Product Code:  SURV/67.S
List Price: $129.00
MAA Member Price: $116.10
AMS Member Price: $103.20
eBook ISBN:  978-1-4704-1294-4
Product Code:  SURV/67.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-1-4704-1225-8
eBook: ISBN:  978-1-4704-1294-4
Product Code:  SURV/67.S.B
List Price: $254.00 $191.50
MAA Member Price: $228.60 $172.35
AMS Member Price: $203.20 $153.20
Add to cart
Continuous Cohomology, Discrete Subgroups, and Representations of Reductive Groups
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Continuous Cohomology, Discrete Subgroups, and Representations of Reductive Groups: Second Edition
A. Borel :  Institute for Advanced Study, Princeton, NJ
N. Wallach :  University of California, San Diego, La Jolla, CA
Softcover ISBN:  978-1-4704-1225-8
Product Code:  SURV/67.S
List Price: $129.00
MAA Member Price: $116.10
AMS Member Price: $103.20
eBook ISBN:  978-1-4704-1294-4
Product Code:  SURV/67.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-1-4704-1225-8
eBook ISBN:  978-1-4704-1294-4
Product Code:  SURV/67.S.B
List Price: $254.00 $191.50
MAA Member Price: $228.60 $172.35
AMS Member Price: $203.20 $153.20
Add to cart
  • Book Details
     
     
    Mathematical Surveys and Monographs
    Volume: 67; 2000; 260 pp
    MSC: Primary 22; Secondary 57

    It has been nearly twenty years since the first edition of this work. In the intervening years, there has been immense progress in the use of homological algebra to construct admissible representations and in the study of arithmetic groups. This second edition is a corrected and expanded version of the original, which was an important catalyst in the expansion of the field. Besides the fundamental material on cohomology and discrete subgroups present in the first edition, this edition also contains expositions of some of the most important developments of the last two decades.
    Readership

    Graduate students and research mathematicians working in continuous cohomology.
  • Table of Contents
     
     
    • Chapters
    • 0. Notation and preliminaries
    • I. Relative Lie algebra cohomology
    • II. Scalar product, Laplacian and Casimir element
    • III. Cohomology with respect to an induced representation
    • IV. The Langlands classification and uniformly bounded representations
    • V. Cohomology with coefficients in $\Pi _\infty (G)$
    • VI. The computation of certain cohomology groups
    • VII. Cohomology of discrete subgroups and Lie algebra cohomology
    • VIII. The construction of certain unitary representations and the computation of the corresponding cohomology groups
    • IX. Continuous cohomology and differentiable cohomology
    • X. Continuous and differentiable cohomology for locally compact totally disconnected groups
    • XI. Cohomology with coefficients in $\Pi _\infty (G)$: The $p$-adic case
    • XII. Differentiable cohomology for products of real Lie groups and T.D. groups
    • XIII. Cohomology of discrete cocompact subgroups
    • XIV. Non-cocompact $S$-arithmetic subgroups
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Mathematical Surveys and Monographs
Volume: 67; 2000; 260 pp
MSC: Primary 22; Secondary 57

It has been nearly twenty years since the first edition of this work. In the intervening years, there has been immense progress in the use of homological algebra to construct admissible representations and in the study of arithmetic groups. This second edition is a corrected and expanded version of the original, which was an important catalyst in the expansion of the field. Besides the fundamental material on cohomology and discrete subgroups present in the first edition, this edition also contains expositions of some of the most important developments of the last two decades.
Readership

Graduate students and research mathematicians working in continuous cohomology.
  • Chapters
  • 0. Notation and preliminaries
  • I. Relative Lie algebra cohomology
  • II. Scalar product, Laplacian and Casimir element
  • III. Cohomology with respect to an induced representation
  • IV. The Langlands classification and uniformly bounded representations
  • V. Cohomology with coefficients in $\Pi _\infty (G)$
  • VI. The computation of certain cohomology groups
  • VII. Cohomology of discrete subgroups and Lie algebra cohomology
  • VIII. The construction of certain unitary representations and the computation of the corresponding cohomology groups
  • IX. Continuous cohomology and differentiable cohomology
  • X. Continuous and differentiable cohomology for locally compact totally disconnected groups
  • XI. Cohomology with coefficients in $\Pi _\infty (G)$: The $p$-adic case
  • XII. Differentiable cohomology for products of real Lie groups and T.D. groups
  • XIII. Cohomology of discrete cocompact subgroups
  • XIV. Non-cocompact $S$-arithmetic subgroups
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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