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Research talks;Number Theory

Orders in finite-dimensional algebras over number fi give rise to interesting locally symmetric spaces and algebraic varieties. Hilbert modular varieties or arithmetically defined hyperbolic 3-manifolds, compact ones as well as noncompact ones, are familiar examples. In this talk we discuss various cases related to the general linear group $GL(2)$ over orders in division algebras defined over some number field. Geometry, arithmetic, and the theory of automorphic forms are interwoven in a most fruitful way in this work. Finally we indicate a construction of non-vanishing square-integrable cohomology classes for such arithmetically defined groups. Orders in finite-dimensional algebras over number fi give rise to interesting locally symmetric spaces and algebraic varieties. Hilbert modular varieties or arithmetically defined hyperbolic 3-manifolds, compact ones as well as noncompact ones, are familiar examples. In this talk we discuss various cases related to the general linear group $GL(2)$ over orders in division algebras defined over some number field. Geometry, arithmetic, and the ...

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Documents Critères de recherche : "Lie groups" | enregistrements trouvés : 234

On the general linear group over arithmetic orders and corresponding cohomology groups Schwermer, Joachim | CIRM H Nouveau

Representation theory of Lie groups :proceedings of the srclms research symposium on representations of Lie groups#June 28-July 15 Luke, G. L. | Cambridge University Press 1979 Nouveau

Harmonic analysis and representation of semi simple lie groupslectures given at the nato advanced study institute on representations of lie groups and harmonic analysis,held at liege,belgium,sept. 5-11,1977 Cahen, M. ; De Wilde, M. ; Wolf, J. A. | D. Reidel Publishing Company 1977 Nouveau

Lie groups, Lie algebras and representation theory Zassenhaus, Hans | Les Presse de l'Université de Montréal 1981 Nouveau

Non commutative harmonic analysis and Lie groups :actes du colloque d'analyse harmonique non commutative tenu à Luminy#Juin 16-20 Carmona, J. ; Vergne, M. | Springer-Verlag 1981 Nouveau

Analysis on lie groups and homogeneous spaces :expository lectures form c.b.m.s. regional conferenc held at dartmough college#Aug. 1971 Helgason, Sigurdur | American Mathematical Society 1977 Nouveau

Non commutative harmonic analysis and Lie groups :proceedings of the international conference held in Luminy#Juin 21-26 Carmona, J. ; Vergne, M. | Springer-Verlag 1983 Nouveau

Lectures on harmonic analysis on Lie groups and related topicscolloque franco-japonais d'analyse harmonique sur les groupes de Lie tenu à l'Université Louis PasteurOct. Hirai, T. ; Schiffman, G. | Kinokuniya Co. Ltd. 1982 Nouveau

Invariant differential operators on some homogeneous spaces for solvable Lie groups Jacobsen, Jacob | Mathematics Institute University 1982 Nouveau

Manifolds and lie groups :papers in honor of yozo matsushima on his 60th birthdayand a conference in geometry in honor of this professor held at the university of notre dame#May 14-15 Hano, J. ; Morimoto, A. ; Murakami, S. | Birkhäuser 1981 Nouveau

Representations of lie groups and lie algebrassummer school on representations theory,bolyai janos mathematical society,budapest,1971 Kirillov, A. A. | Akademiai Kiado 1985 Nouveau

Non-commutative harmonic analysis and Lie groups :proceedings of the international conference held in Marseille-Luminy#June 24-29 Carmona, J. ; Delorme, P. ; Vergne, M. | Springer-Verlag 1987 Nouveau

Séminaire "Sophus Lie". 2ème année :hyperalgèbres et groups de Lie formels | Faculté des Sciences de Paris;Secretariat Mathematique 1 1957 Nouveau

Indecomposable representations of lie groups and their physical applications :proceedings of a conference on ...#Oct. 3-6 Cantoni, Vittorio | Academic Press 1989 Nouveau

Infinite dimensional lie algebras and groupsproceedings of the conference,held at c.i.r.m.,luminy,marseille,july 4-8,1988 Kac, Victor G. | World Scientific 1989 Nouveau

Groups, combinatorics and geometry :proceedings of the l.M.S. symposium#July 5-15 Liebeck, Martin ; Saxl, Jan | Cambridge University Press 1992 Nouveau

Linear algebraic groups and their representations :conference on linear algebraic groups and their representations#March 25-28 Elman, Richard S. ; Schacher, Murray M. ; Varadarajan, V. S. | American Mathematical Society 1993 Nouveau

Representations of Lie groups :proceedings of a symosium on analysis on homogeneous spaces and representations of Lie groups first session#Sept. 1-3second session#Sept. 4-3 Okamoto, K. ; Oshima, T. | Academic Press 1988 Nouveau

Abelian group theory and related topics :conference on abelian groups#Aug. 1-7 Gobel, Rudiger ; Hill, Paul ; Liebert, Wolfgang | American Mathematical Society 1994 Nouveau

Groups of Lie type and their geometries :conference took place at the lovely 18th century Villa Olmo on the scenic shore of Lake Como#June 14-19 Di Martino, Lino ; Kantor, William M. | Cambridge University Press 1995 Nouveau

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Representation theory of Lie groups :
proceedings of the srclms research symposium on representations of Lie groups#June 28-July 15 Luke, G. L. | Cambridge University Press 1979 Nouveau

Harmonic analysis and representation of semi simple lie groups
lectures given at the nato advanced study institute on representations of lie groups and harmonic analysis,held at liege,belgium,sept. 5-11,1977 Cahen, M. ; De Wilde, M. ; Wolf, J. A. | D. Reidel Publishing Company 1977 Nouveau

Non commutative harmonic analysis and Lie groups :
actes du colloque d'analyse harmonique non commutative tenu à Luminy#Juin 16-20 Carmona, J. ; Vergne, M. | Springer-Verlag 1981 Nouveau

Analysis on lie groups and homogeneous spaces :
expository lectures form c.b.m.s. regional conferenc held at dartmough college#Aug. 1971 Helgason, Sigurdur | American Mathematical Society 1977 Nouveau

Non commutative harmonic analysis and Lie groups :
proceedings of the international conference held in Luminy#Juin 21-26 Carmona, J. ; Vergne, M. | Springer-Verlag 1983 Nouveau

Lectures on harmonic analysis on Lie groups and related topics
colloque franco-japonais d'analyse harmonique sur les groupes de Lie tenu à l'Université Louis Pasteur
Oct. Hirai, T. ; Schiffman, G. | Kinokuniya Co. Ltd. 1982 Nouveau

Manifolds and lie groups :
papers in honor of yozo matsushima on his 60th birthdayand a conference in geometry in honor of this professor held at the university of notre dame#May 14-15 Hano, J. ; Morimoto, A. ; Murakami, S. | Birkhäuser 1981 Nouveau

Representations of lie groups and lie algebras
summer school on representations theory,bolyai janos mathematical society,budapest,1971 Kirillov, A. A. | Akademiai Kiado 1985 Nouveau

Non-commutative harmonic analysis and Lie groups :
proceedings of the international conference held in Marseille-Luminy#June 24-29 Carmona, J. ; Delorme, P. ; Vergne, M. | Springer-Verlag 1987 Nouveau

Séminaire "Sophus Lie". 2ème année :
hyperalgèbres et groups de Lie formels | Faculté des Sciences de Paris;Secretariat Mathematique 1 1957 Nouveau

Indecomposable representations of lie groups and their physical applications :
proceedings of a conference on ...#Oct. 3-6 Cantoni, Vittorio | Academic Press 1989 Nouveau

Infinite dimensional lie algebras and groups
proceedings of the conference,held at c.i.r.m.,luminy,marseille,july 4-8,1988 Kac, Victor G. | World Scientific 1989 Nouveau

Groups, combinatorics and geometry :
proceedings of the l.M.S. symposium#July 5-15 Liebeck, Martin ; Saxl, Jan | Cambridge University Press 1992 Nouveau

Linear algebraic groups and their representations :
conference on linear algebraic groups and their representations#March 25-28 Elman, Richard S. ; Schacher, Murray M. ; Varadarajan, V. S. | American Mathematical Society 1993 Nouveau

Representations of Lie groups :
proceedings of a symosium on analysis on homogeneous spaces and representations of Lie groups first session#Sept. 1-3
second session#Sept. 4-3 Okamoto, K. ; Oshima, T. | Academic Press 1988 Nouveau

Abelian group theory and related topics :
conference on abelian groups#Aug. 1-7 Gobel, Rudiger ; Hill, Paul ; Liebert, Wolfgang | American Mathematical Society 1994 Nouveau

Groups of Lie type and their geometries :
conference took place at the lovely 18th century Villa Olmo on the scenic shore of Lake Como#June 14-19 Di Martino, Lino ; Kantor, William M. | Cambridge University Press 1995 Nouveau