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Algebraic groups and Discontinuous Subgroups
Edited by:
A. Borel
eBook ISBN:  9780821832134 
Product Code:  PSPUM/9.E 
List Price:  $135.00 
MAA Member Price:  $121.50 
AMS Member Price:  $108.00 
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Algebraic groups and Discontinuous Subgroups
Edited by:
A. Borel
eBook ISBN:  9780821832134 
Product Code:  PSPUM/9.E 
List Price:  $135.00 
MAA Member Price:  $121.50 
AMS Member Price:  $108.00 

Book DetailsProceedings of Symposia in Pure MathematicsVolume: 9; 1966; 426 ppMSC: 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 cuspforms [ 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. — FourierJacobi series [ MR 0219755 ]

Junichi 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 vectorvalued 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 ]


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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 cuspforms [ 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. — FourierJacobi series [ MR 0219755 ]

Junichi 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 vectorvalued 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 ]
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