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Algebraic Methods in Physics

A Symposium for the 60th Birthdays of Ji?í Patera and Pavel Winternitz

  • Book
  • © 2001

Overview

Editors:
  1. Yvan Saint-Aubin

    1. Département de mathématiques et de statistique, CRM, Université de Montréal, Montréal, Canada

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  2. Luc Vinet

    1. Département de mathématiques et de statistique, CRM, Université de Montréal, Montréal, Canada

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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: CRM Series in Mathematical Physics (CRM)

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Table of contents (17 chapters)

  1. Front Matter

    Pages i-xix
    Download chapter PDF

  2. Self-Similarities and Invariant Densities for Model Sets

    • Michael Baake, Robert V. Moody
    Pages 1-15

  3. Symmetry Operations in the Brain: Music and Reasoning

    • Mark Bodner, Gordon L. Shaw
    Pages 17-38

  4. Lie Modules of Bounded Multiplicities

    • D. J. Britten, F. W. Lemire
    Pages 39-46

  5. Moving Frames and Coframes

    • Mark Fels, Peter J. Olver
    Pages 47-64

  6. The Fibonacci-Deformed Harmonic Oscillator

    • Jean-Pierre Gazeau, Bernard Champagne
    Pages 65-79

  7. Continuous and Discrete Linearizable Systems: The Riccati Saga

    • B. Grammaticos, A. Ramani
    Pages 81-94

  8. Superintegrability on Two-Dimensional Complex Euclidean Space

    • E. G. Kalnins, W. Miller Jr., G. S. Pogosyan
    Pages 95-103

  9. Hydrodynamic Systems and the Higher-Dimensional Laplace Transformations of Cartan Submanifolds

    • N. Kamran, K. Tenenblat
    Pages 105-120

  10. Branching Rules and Weight Multiplicities for Simple and Affine Lie Algebras

    • Ronald C. King
    Pages 121-133

  11. Conditions for the Existence of Higher Symmetries and Nonlinear Evolutionary Equations on the Lattice

    • D. Levi, R. Yamilov
    Pages 135-148

  12. Complete Description of the Voronoï Cell of the Lie Algebra A n Weight Lattice. On the Bounds for the Number of d-Faces of the n-Dimensional Voronoï Cells

    • Louis Michel
    Pages 149-171

  13. The Relativistic Oscillator and the Mass Spectra of Baryons

    • M. Moshinsky
    Pages 173-191

  14. Seiberg-Witten Theory Without Tears

    • L. O’Raifeartaigh
    Pages 193-204

  15. Bargmann Representation for Some Deformed Harmonic Oscillators with Non-Fock Representation

    • Michèle Irac-Astaud, Guy Rideau
    Pages 205-218

  16. The Vector-Coherent-State Inducing Construction for Clebsch-Gordan Coefficients

    • D. J. Rowe
    Pages 219-231

  17. Highest-Weight Representations of Borcherds Algebras

    • Richard Slansky
    Pages 233-245

  18. Graded Contractions of Lie Algebras of Physical Interest

    • J. Tolar
    Pages 247-259
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Keywords

About this book

This book pays tribute to two pioneers in the field of Mathematical physics, Jiri Patera and Pavel Winternitz of the CRM. Each has contributed more than forty years to the subject of mathematical physics, particularly to the study of algebraic methods.

Editors and Affiliations

  • Département de mathématiques et de statistique, CRM, Université de Montréal, Montréal, Canada

    Yvan Saint-Aubin, Luc Vinet

Bibliographic Information

  • Book Title: Algebraic Methods in Physics

  • Book Subtitle: A Symposium for the 60th Birthdays of Ji?í Patera and Pavel Winternitz

  • Editors: Yvan Saint-Aubin, Luc Vinet

  • Series Title: CRM Series in Mathematical Physics

  • DOI: https://doi.org/10.1007/978-1-4613-0119-6

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York, Inc. 2001

  • Hardcover ISBN: 978-0-387-95125-6Published: 15 December 2000

  • Softcover ISBN: 978-1-4612-6528-3Published: 23 October 2012

  • eBook ISBN: 978-1-4613-0119-6Published: 06 December 2012

  • Series ISSN: 2627-7654

  • Series E-ISSN: 2627-7662

  • Edition Number: 1

  • Number of Pages: XIX, 259

  • Topics: Quantum Physics, Quantum Information Technology, Spintronics

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