(Paperback)
By: James Arthur
ISBN: 9780691085180
Readership/Audience: Professional and Scholarly
Publication Date: Aug 1989
Publisher: Princeton University Press
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Studies one of the simplest general problems in the theory, that of relating automorphic forms on arithmetic subgroups of GL(n,E) and GL(n,F) when E/F is a cyclic extension of number fields. (This is known as the base change problem for GL(n).) The problem is solved by means of the trace formula.
(Paperback)
By: Stephen S. Gelbart
ISBN: 9780691081564
Readership/Audience: Professional and Scholarly
Publication Date: May 1975
Publisher: Princeton University Press
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(Paperback)
By: Jonathan David Rogawski
ISBN: 9780691085876
Readership/Audience: Professional and Scholarly
Publication Date: Nov 1990
Publisher: Princeton University Press
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Develops the stable trace formula for unitary groups in three variables. This work applies the stable trace formula to obtain a classification of automorphic representations. It presents the case in which the stable trace formula has been worked out beyond the case of SL (2) and related groups.
(Paperback)
By: George Lusztig
ISBN: 9780691083513
Readership/Audience: Professional and Scholarly
Publication Date: Aug 1984
Publisher: Princeton University Press
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This book presents a classification of all (complex) irreducible representations of a reductive group with connected centre, over a finite field. To achieve this, the author uses etale intersection cohomology, and detailed information on representations of Weyl groups.
(Paperback)
By: S. M. Gersten
ISBN: 9780691084107
Readership/Audience: Professional and Scholarly
Publication Date: Jul 1987
Publisher: Princeton University Press
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(Paperback)
By: George Lusztig
ISBN: 9780691081540
Readership/Audience: Professional and Scholarly
Publication Date: Jan 1975
Publisher: Princeton University Press
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(Paperback)
By: Anthony W. Knapp
ISBN: 9780691085593
Readership/Audience: Professional and Scholarly
Publication Date: Jan 1993
Publisher: Princeton University Press
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An elliptic curve is a particular kind of cubic equation in two variables whose projective solutions form a group. Developing, with many examples, the elementary theory of elliptic curves, this book goes on to the subject of modular forms and the first connections with elliptic curves.
(Paperback)
By: Predrag Cvitanovic
ISBN: 9780691202983
Readership/Audience: Tertiary Education
Publication Date: Aug 2020
Publisher: Princeton University Press
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(Paperback)
By: Iakov Grigorevich Sinai
ISBN: 9780691081823
Readership/Audience: Professional and Scholarly
Publication Date: May 1977
Publisher: Princeton University Press
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Based on lectures in Erevan, this exposition of ergodic theory contains a rich collection of examples well chosen to introduce the reader to the main themes of the subject. Topics discussed include existence of invariant measures, geodesic flows on Riemannian manifolds, ergodic theory of an ideal gas, and entropy of dynamical systems.
(Hardback)
By: Allan G. Silberger
ISBN: 9780691639376
Readership/Audience: Tertiary Education
Publication Date: Jun 2016
Publisher: Princeton University Press
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(Paperback)
By: Sundaram Thangavelu
ISBN: 9780691000480
Readership/Audience: Professional and Scholarly
Publication Date: Jul 1993
Publisher: Princeton University Press
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The interplay between analysis on Lie groups and the theory of special functions is well known. This book deals with the case of the Heisenberg group and the related expansions in terms of Hermite, special Hermite, and Laguerre functions. It develops Littlewood-Paley-Stein theory for the expansions and uses the theory to prove multiplier theorems.
(Paperback)
By: Charles F. Miller
ISBN: 9780691080918
Readership/Audience: Professional and Scholarly
Publication Date: Jan 1972
Publisher: Princeton University Press
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(Hardback, Revised edition)
By: Brian R. Judd
ISBN: 9780691633435
Readership/Audience: Tertiary Education
Publication Date: Jun 2016
Publisher: Princeton University Press
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(Hardback)
By: Charles Segal
ISBN: 9780691642451
Readership/Audience: Tertiary Education
Publication Date: Jun 2016
Publisher: Princeton University Press
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(Paperback)
By: Stephen S. Shatz
ISBN: 9780691080178
Readership/Audience: Professional and Scholarly
Publication Date: May 1972
Publisher: Princeton University Press
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(Paperback)
By: Hermann Weyl
ISBN: 9780691057569
Readership/Audience: Professional and Scholarly
Publication Date: Jan 1998
Publisher: Princeton University Press
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Discusses the symmetric, linear, orthogonal, and symplectic groups and determines their invariants and representations. This book covers topics such as matrix algebras, semigroups, commutators, and spinors, which help in understanding the group-theoretic structure of quantum mechanics.
(Paperback)
By: Alexander Gorodnik
ISBN: 9780691141855
Readership/Audience: Tertiary Education
Publication Date: Jan 2010
Publisher: Princeton University Press
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Develops a systematic general approach to the proof of ergodic theorems for a large class of non-amenable locally compact groups and their lattice subgroups. This book formulates simple general conditions on the spectral theory of the group and the regularity of the averaging sets, which suffice to guarantee convergence to the ergodic mean.
(Paperback)
By: Richard M. Weiss
ISBN: 9780691138817
Readership/Audience: Tertiary Education
Publication Date: Dec 2008
Publisher: Princeton University Press
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Gives a presentation of the complete proof of the classification of Bruhat-Tits buildings first completed by Jacques Tits in 1986. This book includes numerous results about automorphisms, completions, and residues of these buildings.
(Paperback)
By: Claude Chevalley
ISBN: 9780691049908
Readership/Audience: Professional and Scholarly
Publication Date: Mar 2000
Publisher: Princeton University Press
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A treatise on Lie groups in which a modern point of view was adopted systematically, namely, that a continuous group can be regarded as a global object. This book incorporates a broad range of topics, such as the covering spaces of topological spaces, analytic manifolds, and integration of complete systems of differential equations on a manifold.
(Paperback)
By: Matt Clay
ISBN: 9780691158662
Readership/Audience: Tertiary Education
Publication Date: Sep 2017
Publisher: Princeton University Press
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(Paperback)
By: Daniel T. Wise
ISBN: 9780691170459
Readership/Audience: Tertiary Education
Publication Date: Jul 2021
UK Publication Date: 25th May 2021
Publisher: Princeton University Press
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(Hardback)
By: Daniel T. Wise
ISBN: 9780691170442
Readership/Audience: Tertiary Education
Publication Date: Jul 2021
Publisher: Princeton University Press
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(Hardback)
By: Michael W. Davis
ISBN: 9780691131382
Readership/Audience: Professional and Scholarly
Publication Date: Jan 2008
Publisher: Princeton University Press
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Presents a comprehensive treatment of Coxeter groups from the viewpoint of geometric group theory. This book discusses many important topics in geometric group theory and topology, including Hopf's theory of ends; contractible manifolds and homology spheres; the Poincare Conjecture; and Gromov's theory of CAT(0) spaces and groups.
