Completely Prime Maximal Ideals and Quantization - Couverture souple

American Mathematical Society

 
9780821825808: Completely Prime Maximal Ideals and Quantization

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.