Enveloping algebras (North-Holland mathematical library ; v. 14)

Science & Math

Dixmier, Jacques

Mathematics

sole distributors for the U.S.A. and Canada, American Elsevier Pub. Co

<p>Almost four-fifths of this book deals with the study of C*-algebras, and the main results due, among others, to Fell, Glimm, Kadison, Kaplansky, Mackey and Segal are expounded. Because of the amount of material accumulated on unitary representations of groups, the latter pages of the book are devoted to a brief account of some aspects of this subject, particularly since the theory of groups provides some of the most interesting examples of C*-algebras. The theory of C*-algebras is still expanding rapidly, but this work remains a clear and accessible introduction to the fundamentals of the subject.</p>

C*-Algebras

North-Holland

<p>This book, which is the first systematic exposition of the algebraic approach to representations of Lie groups via representations of (or modules over) the corresponding universal enveloping algebras, turned out to be so well written that even today it remains one of the main textbooks and reference books on the subject. In 1992, Jacques Dixmier was awarded the Leroy P. Steele Prize for expository writing in mathematics. The Committee's citation mentioned Enveloping Algebras as one of Dixmier's ``extraordinary books''. Written with unique precision and elegance, the book provides the reader with insight and understanding of this very important subject. It can be an excellent textbook for a graduate course, as well as a very useful source of references in the theory of universal enveloping algebras, the area of mathematics that remains as important today as it was 20 years ago. For the 1996 printing, the author updated the status of open problems and added some relevant references.</p>

Enveloping Algebras: The 1996 Printing of the 1977 English Translation (Graduate Studies in Mathematics, 11)

Amer Mathematical Society

Le Théâtre quantique

Connes, Alain

Chéreau, Danye

JACOB

Enveloping Algebras

de Gruyter

General Topology

Springer, Verlag

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