Unitary Group Representations in Physics, Probability, and Number Theory

Unitary Group Representations in Physics, Probability, and Number Theory PDF Author: George Whitelaw Mackey
Publisher: Addison Wesley Publishing Company
ISBN:
Category : Mathematics
Languages : en
Pages : 442

Get Book Here

Book Description

Unitary Group Representations in Physics, Probability, and Number Theory

Unitary Group Representations in Physics, Probability, and Number Theory PDF Author: George Whitelaw Mackey
Publisher: Addison Wesley Publishing Company
ISBN:
Category : Mathematics
Languages : en
Pages : 442

Get Book Here

Book Description


Group Representations, Ergodic Theory, Operator Algebras, and Mathematical Physics

Group Representations, Ergodic Theory, Operator Algebras, and Mathematical Physics PDF Author: Calvin C. Moore
Publisher: Springer Science & Business Media
ISBN: 1461247225
Category : Mathematics
Languages : en
Pages : 283

Get Book Here

Book Description
The Mathematical Sciences Research Institute sponsored a three day conference, May 21-23, 1984 to honor Professor George W. Mackey. The title of the conference, Group Representations, Ergodic Theory, Operator Algebras, and Mathematical Physics, reflects the interests in science that have characterized Professor wide ranging Mackey's work. The conference provided an opportunity for his students, friends and colleagues to honor him and his contributions. The conference was attended by over one hundred people and the participants included five mathematical generations Professor Mackey's mathematical father, Marshall Stone, many mathematical children, grandchildren, and at least one mathematical great-grandchild. This volume is a compendium of the scientific papers presented at the conference plus some additional papers contributed after the conference. The far ranging scope of the various articles is a further indication of the large number of fields that have been affected by Professor Mackey's work. Calvin C. Moore Berkeley, CA Feb, 1986 Table of Contents Preface vi i Ambiguity Functions and Group L. Auslander and Representations R. Tolimieri Kirillov Orbits and Direct Integral Lawrence Corwin 11 Decompositions on Certain Quotient Spaces Some Homotopy and Shape Calculations Edward G. Effors and 69 for C*-Algebras Jerome Kaminker 121 Small Unitary Representations of Roger Howe Classical Groups Dual Vector Spaces Irving Kaplansky 151 Exponential Decay of Correlation Calvin C. Moore 163 Coefficients for Geodesic Flows Lattices in U(n. I) G. D. Mostow Induced Bundles and Nonlinear Irving E. Segal 199 Wave equations Compact Ahelian Aut.

Group Representations, Ergodic Theory, Operator Algebras, and Mathematical Physics

Group Representations, Ergodic Theory, Operator Algebras, and Mathematical Physics PDF Author: Calvin C Moore
Publisher:
ISBN: 9781461247234
Category :
Languages : en
Pages : 292

Get Book Here

Book Description


Group Representations, Ergodic Theory, Operator Algebras, and Mathematical Physics

Group Representations, Ergodic Theory, Operator Algebras, and Mathematical Physics PDF Author: Calvin C. Moore
Publisher: Springer
ISBN: 9780387964713
Category : Mathematics
Languages : en
Pages : 0

Get Book Here

Book Description
The Mathematical Sciences Research Institute sponsored a three day conference, May 21-23, 1984 to honor Professor George W. Mackey. The title of the conference, Group Representations, Ergodic Theory, Operator Algebras, and Mathematical Physics, reflects the interests in science that have characterized Professor wide ranging Mackey's work. The conference provided an opportunity for his students, friends and colleagues to honor him and his contributions. The conference was attended by over one hundred people and the participants included five mathematical generations Professor Mackey's mathematical father, Marshall Stone, many mathematical children, grandchildren, and at least one mathematical great-grandchild. This volume is a compendium of the scientific papers presented at the conference plus some additional papers contributed after the conference. The far ranging scope of the various articles is a further indication of the large number of fields that have been affected by Professor Mackey's work. Calvin C. Moore Berkeley, CA Feb, 1986 Table of Contents Preface vi i Ambiguity Functions and Group L. Auslander and Representations R. Tolimieri Kirillov Orbits and Direct Integral Lawrence Corwin 11 Decompositions on Certain Quotient Spaces Some Homotopy and Shape Calculations Edward G. Effors and 69 for C*-Algebras Jerome Kaminker 121 Small Unitary Representations of Roger Howe Classical Groups Dual Vector Spaces Irving Kaplansky 151 Exponential Decay of Correlation Calvin C. Moore 163 Coefficients for Geodesic Flows Lattices in U(n. I) G. D. Mostow Induced Bundles and Nonlinear Irving E. Segal 199 Wave equations Compact Ahelian Aut.

Group Representations, Ergodic Theory, and Mathematical Physics

Group Representations, Ergodic Theory, and Mathematical Physics PDF Author: Robert S. Doran
Publisher: American Mathematical Soc.
ISBN: 0821842250
Category : Mathematics
Languages : en
Pages : 458

Get Book Here

Book Description
George Mackey was an extraordinary mathematician of great power and vision. His profound contributions to representation theory, harmonic analysis, ergodic theory, and mathematical physics left a rich legacy for researchers that continues today. This book is based on lectures presented at an AMS special session held in January 2007 in New Orleans dedicated to his memory. The papers, written especially for this volume by internationally-known mathematicians and mathematical physicists, range from expository and historical surveys to original high-level research articles. The influence of Mackey's fundamental ideas is apparent throughout. The introductory article contains recollections from former students, friends, colleagues, and family as well as a biography describing his distinguished career as a mathematician at Harvard, where he held the Landon D. Clay Professorship of Mathematics.

Reflections on Quanta, Symmetries, and Supersymmetries

Reflections on Quanta, Symmetries, and Supersymmetries PDF Author: V.S. Varadarajan
Publisher: Springer Science & Business Media
ISBN: 1441906673
Category : Mathematics
Languages : en
Pages : 242

Get Book Here

Book Description
This is a collection of essays based on lectures that author has given on various occasions on foundation of quantum theory, symmetries and representation theory, and the quantum theory of the superworld created by physicists. The lectures are linked by a unifying theme: how the quantum world and superworld appear under the lens of symmetry and supersymmetry. In the world of ultra-small times and distances such as the Planck length and Planck time, physicists believe no measurements are possible and so the structure of spacetime itself is an unknown that has to be first understood. There have been suggestions (Volovich hypothesis) that world geometry at such energy regimes is non-archimedian and some of the lectures explore the consequences of such a hypothesis. Ultimately, symmetries and supersymmetries are described by the representation of groups and supergroups. The author's interest in representation is a lifelong one and evolved slowly, and owes a great deal to conversations and discussions he had with George Mackey and Harish-Chandra. The book concludes with a retrospective look at these conversations.

Handbook of Dynamical Systems

Handbook of Dynamical Systems PDF Author: B. Hasselblatt
Publisher: Elsevier
ISBN: 0080533442
Category : Mathematics
Languages : en
Pages : 1231

Get Book Here

Book Description
Volumes 1A and 1B.These volumes give a comprehensive survey of dynamics written by specialists in the various subfields of dynamical systems. The presentation attains coherence through a major introductory survey by the editors that organizes the entire subject, and by ample cross-references between individual surveys.The volumes are a valuable resource for dynamicists seeking to acquaint themselves with other specialties in the field, and to mathematicians active in other branches of mathematics who wish to learn about contemporary ideas and results dynamics. Assuming only general mathematical knowledge the surveys lead the reader towards the current state of research in dynamics.Volume 1B will appear 2005.

Integrable Systems and Random Matrices

Integrable Systems and Random Matrices PDF Author: Jinho Baik
Publisher: American Mathematical Soc.
ISBN: 0821842404
Category : Mathematics
Languages : en
Pages : 448

Get Book Here

Book Description
This volume contains the proceedings of a conference held at the Courant Institute in 2006 to celebrate the 60th birthday of Percy A. Deift. The program reflected the wide-ranging contributions of Professor Deift to analysis with emphasis on recent developments in Random Matrix Theory and integrable systems. The articles in this volume present a broad view on the state of the art in these fields. Topics on random matrices include the distributions and stochastic processes associated with local eigenvalue statistics, as well as their appearance in combinatorial models such as TASEP, last passage percolation and tilings. The contributions in integrable systems mostly deal with focusing NLS, the Camassa-Holm equation and the Toda lattice. A number of papers are devoted to techniques that are used in both fields. These techniques are related to orthogonal polynomials, operator determinants, special functions, Riemann-Hilbert problems, direct and inverse spectral theory. Of special interest is the article of Percy Deift in which he discusses some open problems of Random Matrix Theory and the theory of integrable systems.

The Eightfold Way

The Eightfold Way PDF Author: Silvio Levy
Publisher: Cambridge University Press
ISBN: 9780521004190
Category : Mathematics
Languages : en
Pages : 350

Get Book Here

Book Description
Expository and research articles by renowned mathematicians on the myriad properties of the Klein quartic.

Generic Polynomials

Generic Polynomials PDF Author: Christian U. Jensen
Publisher: Cambridge University Press
ISBN: 9780521819985
Category : Mathematics
Languages : en
Pages : 272

Get Book Here

Book Description
Table of contents