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Representation Theory and Dynamical Systems
 
Edited by: A. M. Vershik
Representation Theory and Dynamical Systems
Hardcover ISBN:  978-0-8218-4108-2
Product Code:  ADVSOV/9
List Price: $157.00
MAA Member Price: $141.30
AMS Member Price: $125.60
eBook ISBN:  978-1-4704-4556-0
Product Code:  ADVSOV/9.E
List Price: $157.00
MAA Member Price: $141.30
AMS Member Price: $125.60
Hardcover ISBN:  978-0-8218-4108-2
eBook: ISBN:  978-1-4704-4556-0
Product Code:  ADVSOV/9.B
List Price: $314.00 $235.50
MAA Member Price: $282.60 $211.95
AMS Member Price: $251.20 $188.40
Representation Theory and Dynamical Systems
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Representation Theory and Dynamical Systems
Edited by: A. M. Vershik
Hardcover ISBN:  978-0-8218-4108-2
Product Code:  ADVSOV/9
List Price: $157.00
MAA Member Price: $141.30
AMS Member Price: $125.60
eBook ISBN:  978-1-4704-4556-0
Product Code:  ADVSOV/9.E
List Price: $157.00
MAA Member Price: $141.30
AMS Member Price: $125.60
Hardcover ISBN:  978-0-8218-4108-2
eBook ISBN:  978-1-4704-4556-0
Product Code:  ADVSOV/9.B
List Price: $314.00 $235.50
MAA Member Price: $282.60 $211.95
AMS Member Price: $251.20 $188.40
  • Book Details
     
     
    Advances in Soviet Mathematics
    Volume: 91992; 267 pp
    MSC: Primary 03; 05; 20; 28; 46; 53; 58; 81

    This volume presents research conducted between 1989 and 1991 by the participants in the Leningrad Seminar on representation theory, dynamical systems, and their applications, headed by A. M. Vershik. The primary areas covered here are mathematical physics, Lie groups and their representations, infinite-dimensional groups, topology, and dynamical systems. The book contains a number of useful introductory surveys; for example, one paper by Vaksman and Soĭbelman provides a systematic description of the theory of quantum groups in the spirit of representation theory—a new and popular area for which there are few introductory surveys. A portion of the book is devoted to adic transformations and substitutions, a new area of ergodic theory. With a balance of survey papers and frontier research results, this book will appeal to graduate students and researchers alike.

    Readership

    Graduate students, specialists, and mathematical physicists.

  • Table of Contents
     
     
    • Part I. Quantum Groups, Representations of Groups and Algebras [ MR MR1166193 ]
    • Ya. Soibelman and L. Vaksman — On some problems in the theory of quantum groups
    • E. Vaysleb — Representations of quantum $*$-algebras $sl_t(N+1,\Bbb R)$
    • S. Kerov — Generalized Hall-Littlewood symmetric functions and orthogonal polynomials
    • A. Vershik and B. Tsirelson — Formulation of Bell type problems and “noncommutative” convex geometry
    • M. Nazarov — Projective representations of the infinite symmetric group
    • V. Ostrovskii and Yu. Samoilenko — Structure theorems for a pair of unbounded selfadjoint operators satisfying a quadratic relation
    • L. Vainerman — Relations between compact quantum groups and Kac algebras
    • A. Barvinok — Combinatorial complexity of orbits in representations of the symmetric group
    • Part II. Dynamical Systems and Approximations [ MR MR1166193 ]
    • A. Vershik and A. Livshits — Adic models of ergodic transformations, spectral theory, substitutions, and related topics
    • D. Burago — Periodic metrics
    • D. Burago — Flows with positive entropy
    • B. Solomyak — On the spectral theory of adic transformations
    • M. Solomyak — On simultaneous action of Markov shift and adic transformation
    • A. Livshits — About a certain weakly mixing substitution
    • V. Berestovskii and A. Vershik — Manifolds with intrinsic metric, and nonholonomic spaces
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 91992; 267 pp
MSC: Primary 03; 05; 20; 28; 46; 53; 58; 81

This volume presents research conducted between 1989 and 1991 by the participants in the Leningrad Seminar on representation theory, dynamical systems, and their applications, headed by A. M. Vershik. The primary areas covered here are mathematical physics, Lie groups and their representations, infinite-dimensional groups, topology, and dynamical systems. The book contains a number of useful introductory surveys; for example, one paper by Vaksman and Soĭbelman provides a systematic description of the theory of quantum groups in the spirit of representation theory—a new and popular area for which there are few introductory surveys. A portion of the book is devoted to adic transformations and substitutions, a new area of ergodic theory. With a balance of survey papers and frontier research results, this book will appeal to graduate students and researchers alike.

Readership

Graduate students, specialists, and mathematical physicists.

  • Part I. Quantum Groups, Representations of Groups and Algebras [ MR MR1166193 ]
  • Ya. Soibelman and L. Vaksman — On some problems in the theory of quantum groups
  • E. Vaysleb — Representations of quantum $*$-algebras $sl_t(N+1,\Bbb R)$
  • S. Kerov — Generalized Hall-Littlewood symmetric functions and orthogonal polynomials
  • A. Vershik and B. Tsirelson — Formulation of Bell type problems and “noncommutative” convex geometry
  • M. Nazarov — Projective representations of the infinite symmetric group
  • V. Ostrovskii and Yu. Samoilenko — Structure theorems for a pair of unbounded selfadjoint operators satisfying a quadratic relation
  • L. Vainerman — Relations between compact quantum groups and Kac algebras
  • A. Barvinok — Combinatorial complexity of orbits in representations of the symmetric group
  • Part II. Dynamical Systems and Approximations [ MR MR1166193 ]
  • A. Vershik and A. Livshits — Adic models of ergodic transformations, spectral theory, substitutions, and related topics
  • D. Burago — Periodic metrics
  • D. Burago — Flows with positive entropy
  • B. Solomyak — On the spectral theory of adic transformations
  • M. Solomyak — On simultaneous action of Markov shift and adic transformation
  • A. Livshits — About a certain weakly mixing substitution
  • V. Berestovskii and A. Vershik — Manifolds with intrinsic metric, and nonholonomic spaces
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.