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Representation Theory and Dynamical Systems

About this Title

A. M. Vershik, Editor

Publication: ADVSOV
Publication Year: 1992; Volume 9
ISBNs: 978-0-8218-4108-2 (print); 978-1-4704-4556-0 (online)
DOI: https://doi.org/10.1090/advsov/009
MathSciNet review: MR1166193
MSC: Primary 00B15; Secondary 00B55, 17-06, 22-06

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Table of Contents

Front/Back Matter

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Part I. Quantum Groups, Representations of Groups and Algebras

• 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

• 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

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