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Prior to the International Congress of 1990 in Japan, a workshop on algebra was held which included some of the best known figures in this field. Many of the expository surveys given at this workshop by distinguished mathematicians are included here. Researchers into representation theory will find that this volume contains interesting and stimulating contributions to the development of the subject.

Representations of algebras --- Congresses. --- Representations of algebras - Congresses.

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Historically, operator theory and representation theory both originated with the advent of quantum mechanics. The interplay between the subjects has been and still is active in a variety of areas.This volume focuses on representations of the universal enveloping algebra, covariant representations in general, and infinite-dimensional Lie algebras in particular. It also provides new applications of recent results on integrability of finite-dimensional Lie algebras. As a central theme, it is shown that a number of recent developments in operator algebras may be handled in a particularly e

Operator algebras --- Representations of algebras --- Operator algebras. --- Representations of algebras.

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Group theory --- Hecke algebras. --- Representations of algebras.

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Representations of algebras. --- Vertex operator algebras.

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Banach algebras --- Representations of algebras --- Subnormal operators