Completely Prime Maximal Ideals and Quantization
Author:   William M. McGovern
Publisher:   American Mathematical Society
Volume:   No. 519
ISBN:  

9780821825808


Pages:   67
Publication Date:   01 January 1994
Format:   Paperback
Availability:   Temporarily unavailable   Availability explained
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Completely Prime Maximal Ideals and Quantization


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Overview

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.

Full Product Details

Author:   William M. McGovern
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Volume:   No. 519
Weight:   0.158kg
ISBN:  

9780821825808


ISBN 10:   0821825801
Pages:   67
Publication Date:   01 January 1994
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Paperback
Publisher's Status:   Active
Availability:   Temporarily unavailable   Availability explained
The supplier advises that this item is temporarily unavailable. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out to you.

Table of Contents

Introduction Preliminaries on nilpotent orbits and their covers Induced Dixmier algebras and orbit data Construction and basic properties of the algebras Associated varieties and characteristic cycles Goldie ranks Applications to the quantization program Exhaustion of the completely prime maximal spectrum Examples References.

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