Completely Prime Maximal Ideals and Quantization (Memoirs of the AMS) (Memoirs of the American Mathematical Society) - Softcover

McGovern, William M.

Softcover

ISBN 10: 0821825801 ISBN 13: 9780821825808

Publisher: American Mathematical Society, 1995

Synopsis

This monograph will appeal to graduate students and researchers interested in Lie algebras. McGovern classifies the completely prime maximal spectrum of the enveloping algebra of any classical semisimple Lie algebra. He also studies finite algebra extensions of completely prime primitive quotients of such enveloping algebras and computes their lengths as bimodules, characteristic cycles, and Goldie ranks in many cases. This work marks a major advance in the quantization program, which seeks to extend the methods of (commutative) algebraic geometry to the setting of enveloping algebras. While such an extension cannot be completely carried out, this work shows that many partial results are available.

Edition details

• Publisher: American Mathematical Society
• Publication date: 1995
• Language: English
• ISBN 10: 0821825801
• ISBN 13: 9780821825808
• Binding: Paperback
• Number of pages: 67