Noncompact Lie Groups and Some of Their Applications

This book contains lectures presented by mathematicians and mathematical physicists at the NATO Advanced Research Workshop on noncompact Lie groups held in San Antonio, Texas in January 1993. It touches almost every important topic in the modern theory of representations of noncompact Lie groups and Lie algebras, Lie supergroups and Lie superalgebras, and quantum groups. It also includes several of the applications of this theory. The articles range from expository articles easily accessible to graduate students, to research articles for specialists which provide the most recent developments in this field. The book also provides an introduction which reviews the underlying theory and defines the fundamental and relevant terms for the reader.