Algebraic groups and discontinuous subgroups. [electronic resource]
[Armand Borel and George D. Mostow, editors]
- Providence, American Mathematical Society, 1966.
- 1 online resource (vii, 426 p.)
- Proceedings of symposia in pure mathematics, v. 9 0082-0717 (print); 2324-707X (online); .
"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 / Reduction theory for arithmetic groups / Rationality properties of linear algebraic groups / Classification of algebraic semisimple groups / $\mathfrak $-adic groups / Generalized Tits system (Bruhat decompostition) on $p$-adic semisimple groups / On rational points on projective varieties defined over a complete valuation field / Groups over $Z$ / Subgroups of finite index in certain arithmetic groups / The problem of the maximality of arithmetic groups / Ad�eles / On Tamagawa numbers / The Siegel formula for orthogonal groups. I / The Siegel formula for orthogonal groups. II / The volume of the fundamental domain for some arithmetical subgroups of Chevalley groups / Galois cohomology of linear algebraic groups / Hasse principle for $H^1$ of simply connected groups / Nonabelian $H^2$ in Galois cohomology / Inseparable Galois cohomology / Strong approximation / Introduction to automorphic forms / The decomposition of $L^2(G/\Gamma )$ for $\Gamma =\mathrm (2,\,Z)$ / The spectral decomposition of cusp-forms / Eisenstein series / Dimension of spaces of automorphic forms / Spherical functions and Ramanujan conjecture / Algebraic curves mod $\mathfrak $ and arithmetic groups / Discrete subgroups of $\mathrm (2, k_)$ / On compactifications of orbit spaces of arithmetic discontinuous groups acting on bounded symmetric domains / Fourier-Jacobi series / On the desingularization of Satake compactifications / Classical theory of $\theta $-functions / Moduli of abelian varieties and number theory / Hecke's polynomial as a generalized congruence Artin $L$-function / Fiber varieties over a symmetric space whose fibers are abelian varieties / Families of abelian varieties / Symplectic representations of algebraic groups / The modular groups of Hilbert and Siegel / Quantum mechanical commutation relations and theta functions / Cohomologies of vector-valued forms on compact, locally symmetric Riemann manifolds / On deformations of lattices in Lie groups / On deformations of discrete groups in the noncompact case / On the conjugacy of subgroups of semisimple groups / Armand Borel -- Armand Borel -- Armand Borel and T. A. Springer -- J. Tits -- Fran�cois Bruhat -- Nagayoshi Iwahori -- Tsuneo Tamagawa -- Bertram Kostant -- H. Matsumoto -- Nelo D. Allan -- Tsuneo Tamagawa -- Takashi Ono -- J. G. M. Mars -- J. G. M. Mars -- R. P. Langlands -- T. A. Springer -- Martin Kneser -- T. A. Springer -- Pierre Cartier -- Martin Kneser -- Armand Borel -- R. Godement -- R. Godement -- R. P. Langlands -- R. P. Langlands -- Ichir�o Satake -- Yasutaka Ihara -- Yasutaka Ihara -- Walter L. Baily, Jr. -- Walter L. Baily, Jr. -- Jun-ichi Igusa -- Walter L. Baily, Jr. -- Goro Shimura -- Michio Kuga -- Michio Kuga -- David Mumford -- Ichir�o Satake -- William F. Hammond -- Pierre Cartier -- Shingo Murakami -- Howard Garland -- Howard Garland -- G. D. Mostow -- http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0204532 http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0204533 http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0205998 http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0224710 http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0213356 http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0215858 http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0207701 http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0207713 http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0204534 http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0205997 http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0212025 http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0209290 http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0209288 http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0209289 http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0213362 http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0210714 http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0220736 http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0209297 http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0215863 http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0213361 http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0207650 http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0210827 http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0210828 http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0249539 http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0212135 http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0211955 http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0205992 http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0205952 http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0207711 http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0219755 http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0217076 http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0208016 http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0237507 http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0263827 http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0206168 http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0206003 http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0209409 http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0207653 http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0216825 http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0206987 http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0206165 http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0206166 http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0206140
Access is restricted to licensed institutions
Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2012
Mode of access : World Wide Web
9780821832134 (online)
Group theory.
QA171 / .S915 1965
512.8608
"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 / Reduction theory for arithmetic groups / Rationality properties of linear algebraic groups / Classification of algebraic semisimple groups / $\mathfrak $-adic groups / Generalized Tits system (Bruhat decompostition) on $p$-adic semisimple groups / On rational points on projective varieties defined over a complete valuation field / Groups over $Z$ / Subgroups of finite index in certain arithmetic groups / The problem of the maximality of arithmetic groups / Ad�eles / On Tamagawa numbers / The Siegel formula for orthogonal groups. I / The Siegel formula for orthogonal groups. II / The volume of the fundamental domain for some arithmetical subgroups of Chevalley groups / Galois cohomology of linear algebraic groups / Hasse principle for $H^1$ of simply connected groups / Nonabelian $H^2$ in Galois cohomology / Inseparable Galois cohomology / Strong approximation / Introduction to automorphic forms / The decomposition of $L^2(G/\Gamma )$ for $\Gamma =\mathrm (2,\,Z)$ / The spectral decomposition of cusp-forms / Eisenstein series / Dimension of spaces of automorphic forms / Spherical functions and Ramanujan conjecture / Algebraic curves mod $\mathfrak $ and arithmetic groups / Discrete subgroups of $\mathrm (2, k_)$ / On compactifications of orbit spaces of arithmetic discontinuous groups acting on bounded symmetric domains / Fourier-Jacobi series / On the desingularization of Satake compactifications / Classical theory of $\theta $-functions / Moduli of abelian varieties and number theory / Hecke's polynomial as a generalized congruence Artin $L$-function / Fiber varieties over a symmetric space whose fibers are abelian varieties / Families of abelian varieties / Symplectic representations of algebraic groups / The modular groups of Hilbert and Siegel / Quantum mechanical commutation relations and theta functions / Cohomologies of vector-valued forms on compact, locally symmetric Riemann manifolds / On deformations of lattices in Lie groups / On deformations of discrete groups in the noncompact case / On the conjugacy of subgroups of semisimple groups / Armand Borel -- Armand Borel -- Armand Borel and T. A. Springer -- J. Tits -- Fran�cois Bruhat -- Nagayoshi Iwahori -- Tsuneo Tamagawa -- Bertram Kostant -- H. Matsumoto -- Nelo D. Allan -- Tsuneo Tamagawa -- Takashi Ono -- J. G. M. Mars -- J. G. M. Mars -- R. P. Langlands -- T. A. Springer -- Martin Kneser -- T. A. Springer -- Pierre Cartier -- Martin Kneser -- Armand Borel -- R. Godement -- R. Godement -- R. P. Langlands -- R. P. Langlands -- Ichir�o Satake -- Yasutaka Ihara -- Yasutaka Ihara -- Walter L. Baily, Jr. -- Walter L. Baily, Jr. -- Jun-ichi Igusa -- Walter L. Baily, Jr. -- Goro Shimura -- Michio Kuga -- Michio Kuga -- David Mumford -- Ichir�o Satake -- William F. Hammond -- Pierre Cartier -- Shingo Murakami -- Howard Garland -- Howard Garland -- G. D. Mostow -- http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0204532 http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0204533 http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0205998 http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0224710 http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0213356 http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0215858 http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0207701 http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0207713 http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0204534 http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0205997 http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0212025 http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0209290 http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0209288 http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0209289 http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0213362 http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0210714 http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0220736 http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0209297 http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0215863 http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0213361 http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0207650 http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0210827 http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0210828 http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0249539 http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0212135 http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0211955 http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0205992 http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0205952 http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0207711 http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0219755 http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0217076 http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0208016 http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0237507 http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0263827 http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0206168 http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0206003 http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0209409 http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0207653 http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0216825 http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0206987 http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0206165 http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0206166 http://www.ams.org/pspum/009 http://dx.doi.org/10.1090/pspum/009/0206140
Access is restricted to licensed institutions
Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2012
Mode of access : World Wide Web
9780821832134 (online)
Group theory.
QA171 / .S915 1965
512.8608