Lie Theory and Geometry pp Cite as. I recently came across a list of twenty problems on enveloping algebras that I had presented during a meeting on Enveloping Algebras in Oberwolfach during August This was a time when the study of primitive ideals had reached a particularly interesting stage and before quantum groups had been invented. Of these roughly half were settled and need not be mentioned further. On the remaining problems relatively little progress has been made despite the availability of new geometric information particularly on orbital varieties and of our experience with quantum groups. In the following sections some of these and some new questions are reviewed.
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Libraries and resellers, please contact cust-serv ams. See our librarian page for additional eBook ordering options. 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 , Jacques Dixmier was awarded the Leroy P. Steele Prize for expository writing in mathematics. 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 printing, the author updated the status of open problems and added some relevant references. For the graduate student, this is a masterpiece of pedagogical writing, being succinct, wonderfully self-contained and of exceptional precision.
Self-contained, written with precision and elegance … an excellent textbook for the graduate student, a very good background for the professional algebraist not very familiar with the subject and a very useful source of references for the expert.
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Enveloping Algebras Share this page. Advanced search. Author s Product display : Jacques Dixmier. Abstract: 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.
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Readership: Graduate students and research mathematicians interested in Lie algebras. Reviews: For the graduate student, this is a masterpiece of pedagogical writing, being succinct, wonderfully self-contained and of exceptional precision. Related Products:.
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Enveloping Algebras: Problems Old and New