Item Successfully Added to Cart
An error was encountered while trying to add the item to the cart. Please try again.
OK
Please make all selections above before adding to cart
OK
Share this page via the icons above, or by copying the link below:
Copy To Clipboard
Successfully Copied!
Enveloping Algebras
 
Enveloping Algebras
Hardcover ISBN:  978-0-8218-0560-2
Product Code:  GSM/11
List Price: $99.00
MAA Member Price: $89.10
AMS Member Price: $79.20
Sale Price: $64.35
eBook ISBN:  978-1-4704-2229-5
Product Code:  GSM/11.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Sale Price: $55.25
Hardcover ISBN:  978-0-8218-0560-2
eBook: ISBN:  978-1-4704-2229-5
Product Code:  GSM/11.B
List Price: $184.00 $141.50
MAA Member Price: $165.60 $127.35
AMS Member Price: $147.20 $113.20
Sale Price: $119.60 $91.98
Enveloping Algebras
Click above image for expanded view
Enveloping Algebras
Hardcover ISBN:  978-0-8218-0560-2
Product Code:  GSM/11
List Price: $99.00
MAA Member Price: $89.10
AMS Member Price: $79.20
Sale Price: $64.35
eBook ISBN:  978-1-4704-2229-5
Product Code:  GSM/11.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Sale Price: $55.25
Hardcover ISBN:  978-0-8218-0560-2
eBook ISBN:  978-1-4704-2229-5
Product Code:  GSM/11.B
List Price: $184.00 $141.50
MAA Member Price: $165.60 $127.35
AMS Member Price: $147.20 $113.20
Sale Price: $119.60 $91.98
  • Book Details
     
     
    Graduate Studies in Mathematics
    Volume: 111996; 379 pp
    MSC: Primary 17;

    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.

    Readership

    Graduate students and research mathematicians interested in Lie algebras.

  • Table of Contents
     
     
    • Chapters
    • Chapter 1. Lie algebras
    • Chapter 2. Enveloping algebras
    • Chapter 3. Two sided ideals in eveloping algebras
    • Chapter 4. Centres
    • Chapter 5. Induced representations
    • Chapter 6. Primitive ideals (the solvable case)
    • Chapter 7. Verma modules
    • Chapter 8. The enveloping algebra of a semi-simple Lie algebra
    • Chapter 9. Harish-Chandra modules
    • Chapter 10. Primitive ideals (the general case)
    • Chapter 11. Appendix
    • Problems
  • Reviews
     
     
    • For the graduate student, this is a masterpiece of pedagogical writing, being succinct, wonderfully self-contained and of exceptional precision.

      Mathematical Reviews
    • 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.

      Zentralblatt MATH
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 111996; 379 pp
MSC: Primary 17;

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.

Readership

Graduate students and research mathematicians interested in Lie algebras.

  • Chapters
  • Chapter 1. Lie algebras
  • Chapter 2. Enveloping algebras
  • Chapter 3. Two sided ideals in eveloping algebras
  • Chapter 4. Centres
  • Chapter 5. Induced representations
  • Chapter 6. Primitive ideals (the solvable case)
  • Chapter 7. Verma modules
  • Chapter 8. The enveloping algebra of a semi-simple Lie algebra
  • Chapter 9. Harish-Chandra modules
  • Chapter 10. Primitive ideals (the general case)
  • Chapter 11. Appendix
  • Problems
  • For the graduate student, this is a masterpiece of pedagogical writing, being succinct, wonderfully self-contained and of exceptional precision.

    Mathematical Reviews
  • 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.

    Zentralblatt MATH
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
You may be interested in...
Please select which format for which you are requesting permissions.