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Download E-books Unipotent and Nilpotent Classes in Simple Algebraic Groups and Lie Algebras (Mathematical Surveys and Monographs) PDF

This e-book issues the idea of unipotent components in uncomplicated algebraic teams over algebraically closed or finite fields, and nilpotent parts within the corresponding basic Lie algebras. those issues were a massive sector of research for many years, with functions to illustration concept, personality thought, the subgroup constitution of algebraic teams and finite teams, and the class of the finite uncomplicated teams. the focus is on acquiring complete info on type representatives and centralizers of unipotent and nilpotent parts. even if there's a titanic literature in this subject, this booklet is the 1st unmarried resource the place such details is gifted thoroughly in all features. furthermore, a few of the effects are new--for instance, these relating centralizers of nilpotent components in small features. certainly, the complete technique, whereas utilizing a few principles from the literature, is novel, and yields many new normal and particular evidence about the constitution and embeddings of centralizers.

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