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Algebraic groups and discontinuous subgroups. [electronic resource] [Armand Borel and George D. Mostow, editors]

By: Symposium in Pure Mathematics (1965 : University of Colorado)Contributor(s): Borel, Armand [ed.] | Mostow, George D [ed.] | University of Colorado | American Mathematical SocietyMaterial type: Text

TextSeries: Proceedings of symposia in pure mathematics ; v. 9Publication details: Providence, American Mathematical Society, 1966Description: 1 online resource (vii, 426 p.)ISBN: 9780821832134 (online)Subject(s): Group theoryAdditional physical formats: Algebraic groups and discontinuous subgroups.DDC classification: 512.8608 LOC classification: QA171 | .S915 1965Online resources: Contents | Contents

Contents:

Linear algebraic groups / Armand Borel -- http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0204532 Reduction theory for arithmetic groups / Armand Borel -- http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0204533 Rationality properties of linear algebraic groups / Armand Borel and T. A. Springer -- http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0205998 Classification of algebraic semisimple groups / J. Tits -- http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0224710 $\mathfrak {p}$-adic groups / Fran�cois Bruhat -- http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0213356 Generalized Tits system (Bruhat decompostition) on $p$-adic semisimple groups / Nagayoshi Iwahori -- http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0215858 On rational points on projective varieties defined over a complete valuation field / Tsuneo Tamagawa -- http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0207701 Groups over $Z$ / Bertram Kostant -- http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0207713 Subgroups of finite index in certain arithmetic groups / H. Matsumoto -- http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0204534 The problem of the maximality of arithmetic groups / Nelo D. Allan -- http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0205997 Ad�eles / Tsuneo Tamagawa -- http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0212025 On Tamagawa numbers / Takashi Ono -- http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0209290 The Siegel formula for orthogonal groups. I / J. G. M. Mars -- http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0209288 The Siegel formula for orthogonal groups. II / J. G. M. Mars -- http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0209289 The volume of the fundamental domain for some arithmetical subgroups of Chevalley groups / R. P. Langlands -- http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0213362 Galois cohomology of linear algebraic groups / T. A. Springer -- http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0210714 Hasse principle for $H^1$ of simply connected groups / Martin Kneser -- http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0220736 Nonabelian $H^2$ in Galois cohomology / T. A. Springer -- http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0209297 Inseparable Galois cohomology / Pierre Cartier -- http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0215863 Strong approximation / Martin Kneser -- http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0213361 Introduction to automorphic forms / Armand Borel -- http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0207650 The decomposition of $L^2(G/\Gamma )$ for $\Gamma =\mathrm {SL}(2,\,Z)$ / R. Godement -- http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0210827 The spectral decomposition of cusp-forms / R. Godement -- http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0210828 Eisenstein series / R. P. Langlands -- http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0249539 Dimension of spaces of automorphic forms / R. P. Langlands -- http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0212135 Spherical functions and Ramanujan conjecture / Ichir�o Satake -- http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0211955 Algebraic curves mod $\mathfrak {p}$ and arithmetic groups / Yasutaka Ihara -- http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0205992 Discrete subgroups of $\mathrm {PL}(2, k_{\wp })$ / Yasutaka Ihara -- http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0205952 On compactifications of orbit spaces of arithmetic discontinuous groups acting on bounded symmetric domains / Walter L. Baily, Jr. -- http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0207711 Fourier-Jacobi series / Walter L. Baily, Jr. -- http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0219755 On the desingularization of Satake compactifications / Jun-ichi Igusa -- http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0217076 Classical theory of $\theta $-functions / Walter L. Baily, Jr. -- http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0208016 Moduli of abelian varieties and number theory / Goro Shimura -- http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0237507 Hecke's polynomial as a generalized congruence Artin $L$-function / Michio Kuga -- http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0263827 Fiber varieties over a symmetric space whose fibers are abelian varieties / Michio Kuga -- http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0206168 Families of abelian varieties / David Mumford -- http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0206003 Symplectic representations of algebraic groups / Ichir�o Satake -- http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0209409 The modular groups of Hilbert and Siegel / William F. Hammond -- http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0207653 Quantum mechanical commutation relations and theta functions / Pierre Cartier -- http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0216825 Cohomologies of vector-valued forms on compact, locally symmetric Riemann manifolds / Shingo Murakami -- http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0206987 On deformations of lattices in Lie groups / Howard Garland -- http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0206165 On deformations of discrete groups in the noncompact case / Howard Garland -- http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0206166 On the conjugacy of subgroups of semisimple groups / G. D. Mostow -- http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0206140

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Current library	Home library	Call number	Materials specified	URL	Status	Date due	Barcode
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"Proceedings of the Symposium in Pure Mathematics of the American Mathematical Society held at the University of Colorado, Boulder, Colorado, July 5 - August 6, 1965. [Papers] prepared by the American Mathematical Society under National Science Foundation grant GP-3983 and Office of Naval Research grant Nonr(G)00055-65."

A symposium of the American Mathematical Society.

"An outgrowth of the twelfth Summer Mathematical Institute of the American Mathematical Society."

Includes bibliographies.

Linear algebraic groups / Armand Borel -- Reduction theory for arithmetic groups / Armand Borel -- Rationality properties of linear algebraic groups / Armand Borel and T. A. Springer -- Classification of algebraic semisimple groups / J. Tits -- $\mathfrak {p}$-adic groups / Fran�cois Bruhat -- Generalized Tits system (Bruhat decompostition) on $p$-adic semisimple groups / Nagayoshi Iwahori -- On rational points on projective varieties defined over a complete valuation field / Tsuneo Tamagawa -- Groups over $Z$ / Bertram Kostant -- Subgroups of finite index in certain arithmetic groups / H. Matsumoto -- The problem of the maximality of arithmetic groups / Nelo D. Allan -- Ad�eles / Tsuneo Tamagawa -- On Tamagawa numbers / Takashi Ono -- The Siegel formula for orthogonal groups. I / J. G. M. Mars -- The Siegel formula for orthogonal groups. II / J. G. M. Mars -- The volume of the fundamental domain for some arithmetical subgroups of Chevalley groups / R. P. Langlands -- Galois cohomology of linear algebraic groups / T. A. Springer -- Hasse principle for $H^1$ of simply connected groups / Martin Kneser -- Nonabelian $H^2$ in Galois cohomology / T. A. Springer -- Inseparable Galois cohomology / Pierre Cartier -- Strong approximation / Martin Kneser -- Introduction to automorphic forms / Armand Borel -- The decomposition of $L^2(G/\Gamma )$ for $\Gamma =\mathrm {SL}(2,\,Z)$ / R. Godement -- The spectral decomposition of cusp-forms / R. Godement -- Eisenstein series / R. P. Langlands -- Dimension of spaces of automorphic forms / R. P. Langlands -- Spherical functions and Ramanujan conjecture / Ichir�o Satake -- Algebraic curves mod $\mathfrak {p}$ and arithmetic groups / Yasutaka Ihara -- Discrete subgroups of $\mathrm {PL}(2, k_{\wp })$ / Yasutaka Ihara -- On compactifications of orbit spaces of arithmetic discontinuous groups acting on bounded symmetric domains / Walter L. Baily, Jr. -- Fourier-Jacobi series / Walter L. Baily, Jr. -- On the desingularization of Satake compactifications / Jun-ichi Igusa -- Classical theory of $\theta $-functions / Walter L. Baily, Jr. -- Moduli of abelian varieties and number theory / Goro Shimura -- Hecke's polynomial as a generalized congruence Artin $L$-function / Michio Kuga -- Fiber varieties over a symmetric space whose fibers are abelian varieties / Michio Kuga -- Families of abelian varieties / David Mumford -- Symplectic representations of algebraic groups / Ichir�o Satake -- The modular groups of Hilbert and Siegel / William F. Hammond -- Quantum mechanical commutation relations and theta functions / Pierre Cartier -- Cohomologies of vector-valued forms on compact, locally symmetric Riemann manifolds / Shingo Murakami -- On deformations of lattices in Lie groups / Howard Garland -- On deformations of discrete groups in the noncompact case / Howard Garland -- On the conjugacy of subgroups of semisimple groups / G. D. Mostow --