Representation Theory and Dynamical Systems

ISBN-13: 9780821841082 / Angielski / Twarda / 1992 / 267 str.

Opis

This volume presents research conducted between 1989 and 1991 by 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 Solbelman provides a systematic description of the theory of quantum groups in the spirit of representation theory - a 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 should be useful to graduate students and researchers alike.