Completely Prime Maximal Ideals and Quantization

Completely Prime Maximal Ideals and Quantization
By:William M. McGovern
Published on 1994-01-01 by American Mathematical Soc.

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.

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Book which was published by American Mathematical Soc. since 1994-01-01 have ISBNs, ISBN 13 Code is 9780821862421 and ISBN 10 Code is 0821862421

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