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Completely Prime Maximal Ideals and Quantization
William M. McGovern
出版American Mathematical Soc., 1994
主題Mathematics / Algebra / GeneralMathematics / Algebra / AbstractMathematics / Algebra / LinearMathematics / Group Theory
ISBN08218258019780821825808
URLhttp://books.google.com.hk/books?id=BYnUCQAAQBAJ&hl=&source=gbs_api
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註釋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.