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Algebraic groups and Discontinuous Subgroups
 
Edited by: A. Borel
G. D. Mostow
Algebraic groups and Discontinuous Subgroups
eBook ISBN:  978-0-8218-3213-4
Product Code:  PSPUM/9.E
List Price: $135.00
MAA Member Price: $121.50
AMS Member Price: $108.00
Add to cart
Algebraic groups and Discontinuous Subgroups
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Algebraic groups and Discontinuous Subgroups
Edited by: A. Borel
G. D. Mostow
eBook ISBN:  978-0-8218-3213-4
Product Code:  PSPUM/9.E
List Price: $135.00
MAA Member Price: $121.50
AMS Member Price: $108.00
Add to cart
  • Book Details
     
     
    Proceedings of Symposia in Pure Mathematics
    Volume: 9; 1966; 426 pp
    MSC: Primary 14
  • Table of Contents
     
     
    • Algebraic groups, arithmetic groups
    • Armand Borel — Linear algebraic groups [ MR 0204532 ]
    • Armand Borel — Reduction theory for arithmetic groups [ MR 0204533 ]
    • Armand Borel and T. A. Springer — Rationality properties of linear algebraic groups [ MR 0205998 ]
    • J. Tits — Classification of algebraic semisimple groups [ MR 0224710 ]
    • François Bruhat — $\mathfrak {p}$-adic groups [ MR 0213356 ]
    • Nagayoshi Iwahori — Generalized Tits system (Bruhat decompostition) on $p$-adic semisimple groups [ MR 0215858 ]
    • Tsuneo Tamagawa — On rational points on projective varieties defined over a complete valuation field [ MR 0207701 ]
    • Bertram Kostant — Groups over $Z$ [ MR 0207713 ]
    • H. Matsumoto — Subgroups of finite index in certain arithmetic groups [ MR 0204534 ]
    • Nelo D. Allan — The problem of the maximality of arithmetic groups [ MR 0205997 ]
    • Arithmetic properties of algebraic groups. Adèle groups
    • Tsuneo Tamagawa — Adèles [ MR 0212025 ]
    • Takashi Ono — On Tamagawa numbers [ MR 0209290 ]
    • J. G. M. Mars — The Siegel formula for orthogonal groups. I [ MR 0209288 ]
    • J. G. M. Mars — The Siegel formula for orthogonal groups. II [ MR 0209289 ]
    • R. P. Langlands — The volume of the fundamental domain for some arithmetical subgroups of Chevalley groups [ MR 0213362 ]
    • T. A. Springer — Galois cohomology of linear algebraic groups [ MR 0210714 ]
    • Martin Kneser — Hasse principle for $H^1$ of simply connected groups [ MR 0220736 ]
    • T. A. Springer — Nonabelian $H^2$ in Galois cohomology [ MR 0209297 ]
    • Pierre Cartier — Inseparable Galois cohomology [ MR 0215863 ]
    • Martin Kneser — Strong approximation [ MR 0213361 ]
    • Automorphic functions and decomposition of $L^2(G/\Gamma )$
    • Armand Borel — Introduction to automorphic forms [ MR 0207650 ]
    • R. Godement — The decomposition of $L^2(G/\Gamma )$ for $\Gamma =\mathrm {SL}(2,\,Z)$ [ MR 0210827 ]
    • R. Godement — The spectral decomposition of cusp-forms [ MR 0210828 ]
    • R. P. Langlands — Eisenstein series [ MR 0249539 ]
    • R. P. Langlands — Dimension of spaces of automorphic forms [ MR 0212135 ]
    • Ichirô Satake — Spherical functions and Ramanujan conjecture [ MR 0211955 ]
    • Yasutaka Ihara — Algebraic curves mod $\mathfrak {p}$ and arithmetic groups [ MR 0205992 ]
    • Yasutaka Ihara — Discrete subgroups of $\mathrm {PL}(2, k_{\wp })$ [ MR 0205952 ]
    • Bounded symmetric domains, holomorphic automorphic forms, moduli
    • Walter L. Baily, Jr. — On compactifications of orbit spaces of arithmetic discontinuous groups acting on bounded symmetric domains [ MR 0207711 ]
    • Walter L. Baily, Jr. — Fourier-Jacobi series [ MR 0219755 ]
    • Jun-ichi Igusa — On the desingularization of Satake compactifications [ MR 0217076 ]
    • Walter L. Baily, Jr. — Classical theory of $\theta $-functions [ MR 0208016 ]
    • Goro Shimura — Moduli of abelian varieties and number theory [ MR 0237507 ]
    • Michio Kuga — Hecke’s polynomial as a generalized congruence Artin $L$-function [ MR 0263827 ]
    • Michio Kuga — Fiber varieties over a symmetric space whose fibers are abelian varieties [ MR 0206168 ]
    • David Mumford — Families of abelian varieties [ MR 0206003 ]
    • Ichirô Satake — Symplectic representations of algebraic groups [ MR 0209409 ]
    • William F. Hammond — The modular groups of Hilbert and Siegel [ MR 0207653 ]
    • Pierre Cartier — Quantum mechanical commutation relations and theta functions [ MR 0216825 ]
    • Quotients of symmetric spaces. Deformations
    • Shingo Murakami — Cohomologies of vector-valued forms on compact, locally symmetric Riemann manifolds [ MR 0206987 ]
    • Howard Garland — On deformations of lattices in Lie groups [ MR 0206165 ]
    • Howard Garland — On deformations of discrete groups in the noncompact case [ MR 0206166 ]
    • G. D. Mostow — On the conjugacy of subgroups of semisimple groups [ MR 0206140 ]
  • 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
Proceedings of Symposia in Pure Mathematics
Volume: 9; 1966; 426 pp
MSC: Primary 14
  • Algebraic groups, arithmetic groups
  • Armand Borel — Linear algebraic groups [ MR 0204532 ]
  • Armand Borel — Reduction theory for arithmetic groups [ MR 0204533 ]
  • Armand Borel and T. A. Springer — Rationality properties of linear algebraic groups [ MR 0205998 ]
  • J. Tits — Classification of algebraic semisimple groups [ MR 0224710 ]
  • François Bruhat — $\mathfrak {p}$-adic groups [ MR 0213356 ]
  • Nagayoshi Iwahori — Generalized Tits system (Bruhat decompostition) on $p$-adic semisimple groups [ MR 0215858 ]
  • Tsuneo Tamagawa — On rational points on projective varieties defined over a complete valuation field [ MR 0207701 ]
  • Bertram Kostant — Groups over $Z$ [ MR 0207713 ]
  • H. Matsumoto — Subgroups of finite index in certain arithmetic groups [ MR 0204534 ]
  • Nelo D. Allan — The problem of the maximality of arithmetic groups [ MR 0205997 ]
  • Arithmetic properties of algebraic groups. Adèle groups
  • Tsuneo Tamagawa — Adèles [ MR 0212025 ]
  • Takashi Ono — On Tamagawa numbers [ MR 0209290 ]
  • J. G. M. Mars — The Siegel formula for orthogonal groups. I [ MR 0209288 ]
  • J. G. M. Mars — The Siegel formula for orthogonal groups. II [ MR 0209289 ]
  • R. P. Langlands — The volume of the fundamental domain for some arithmetical subgroups of Chevalley groups [ MR 0213362 ]
  • T. A. Springer — Galois cohomology of linear algebraic groups [ MR 0210714 ]
  • Martin Kneser — Hasse principle for $H^1$ of simply connected groups [ MR 0220736 ]
  • T. A. Springer — Nonabelian $H^2$ in Galois cohomology [ MR 0209297 ]
  • Pierre Cartier — Inseparable Galois cohomology [ MR 0215863 ]
  • Martin Kneser — Strong approximation [ MR 0213361 ]
  • Automorphic functions and decomposition of $L^2(G/\Gamma )$
  • Armand Borel — Introduction to automorphic forms [ MR 0207650 ]
  • R. Godement — The decomposition of $L^2(G/\Gamma )$ for $\Gamma =\mathrm {SL}(2,\,Z)$ [ MR 0210827 ]
  • R. Godement — The spectral decomposition of cusp-forms [ MR 0210828 ]
  • R. P. Langlands — Eisenstein series [ MR 0249539 ]
  • R. P. Langlands — Dimension of spaces of automorphic forms [ MR 0212135 ]
  • Ichirô Satake — Spherical functions and Ramanujan conjecture [ MR 0211955 ]
  • Yasutaka Ihara — Algebraic curves mod $\mathfrak {p}$ and arithmetic groups [ MR 0205992 ]
  • Yasutaka Ihara — Discrete subgroups of $\mathrm {PL}(2, k_{\wp })$ [ MR 0205952 ]
  • Bounded symmetric domains, holomorphic automorphic forms, moduli
  • Walter L. Baily, Jr. — On compactifications of orbit spaces of arithmetic discontinuous groups acting on bounded symmetric domains [ MR 0207711 ]
  • Walter L. Baily, Jr. — Fourier-Jacobi series [ MR 0219755 ]
  • Jun-ichi Igusa — On the desingularization of Satake compactifications [ MR 0217076 ]
  • Walter L. Baily, Jr. — Classical theory of $\theta $-functions [ MR 0208016 ]
  • Goro Shimura — Moduli of abelian varieties and number theory [ MR 0237507 ]
  • Michio Kuga — Hecke’s polynomial as a generalized congruence Artin $L$-function [ MR 0263827 ]
  • Michio Kuga — Fiber varieties over a symmetric space whose fibers are abelian varieties [ MR 0206168 ]
  • David Mumford — Families of abelian varieties [ MR 0206003 ]
  • Ichirô Satake — Symplectic representations of algebraic groups [ MR 0209409 ]
  • William F. Hammond — The modular groups of Hilbert and Siegel [ MR 0207653 ]
  • Pierre Cartier — Quantum mechanical commutation relations and theta functions [ MR 0216825 ]
  • Quotients of symmetric spaces. Deformations
  • Shingo Murakami — Cohomologies of vector-valued forms on compact, locally symmetric Riemann manifolds [ MR 0206987 ]
  • Howard Garland — On deformations of lattices in Lie groups [ MR 0206165 ]
  • Howard Garland — On deformations of discrete groups in the noncompact case [ MR 0206166 ]
  • G. D. Mostow — On the conjugacy of subgroups of semisimple groups [ MR 0206140 ]
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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