Centres of Centralizers of Unipotent Elements in Simple Algebraic Groups
Download or Read eBook Centres of Centralizers of Unipotent Elements in Simple Algebraic Groups PDF written by Ross Lawther and published by American Mathematical Soc.. This book was released on 2011 with total page 201 pages. Available in PDF, EPUB and Kindle.
Author | : Ross Lawther |
Publisher | : American Mathematical Soc. |
Total Pages | : 201 |
Release | : 2011 |
ISBN-10 | : 9780821847695 |
ISBN-13 | : 0821847694 |
Rating | : 4/5 (95 Downloads) |
Book Synopsis Centres of Centralizers of Unipotent Elements in Simple Algebraic Groups by : Ross Lawther
Book excerpt: Let G be a simple algebraic group defined over an algebraically closed field k whose characteristic is either 0 or a good prime for G, and let uEG be unipotent. The authors study the centralizer CG(u), especially its centre Z(CG(u)). They calculate the Lie algebra of Z(CG(u)), in particular determining its dimension; they prove a succession of theorems of increasing generality, the last of which provides a formula for dim Z(CG(u)) in terms of the labelled diagram associated to the conjugacy class containing u.