This is a unified exposition of work done over the past thirty years on conjugacy classes in semisimple algebraic groups.
Conjugacy Classes in Algebraic Groups
This book concerns the theory of unipotent elements in simple algebraic groups over algebraically closed or finite fields, and nilpotent elements in the corresponding simple Lie algebras.
213 , 2005 Component Groups of the Centralizers of Unipotent Elements in Semisimple Algebraic Groups A. Alexeevski Preface This ... Unipotent conjugacy classes in all semisimple algebraic groups over algebraically closed field k of zero ...
Ross Lawther, Donna M. Testerman ... collection of T-weights on V is the union (with multiplicities) of the sets {d – 1, d – 3, . . . , 3– d, 1 – d}, where the union runs over the Jordan blocks of e on V and d is the size of the block ...
Then one of the following holds: (2) (1) M is a parabolic subgroup, M is the normalizer of some connected reductive ... An elementary abelian r-subgroup R of G, with r = char(k), is called a Jordan subgroup of G if it satisfies the ...
The authors of this book investigate the subgroups of certain types of simple algebraic groups and obtain a complete description of all those subgroups which are themselves simple.
CLASS FUNCTIONS , CONJUGACY CLASSES AND COMMUTATORS IN SEMISIMPLE LIE GROUPS ARMAND BOREL To the memory of Roger Richardson INTRODUCTION Let G be a connected Lie group , a : H + G a covering of G. Let us say that the conjugacy class C ...
The editors wish to thank Dr. Ross Lawther and Dr. Nick Inglis most warmly for their help in the production of this volume. Dr. Lawther in particular made an invaluable contribution in preparing the volume for submission to the publishers.
R. B. HOWLETT, Normalizers of parabolic subgroups of reflection groups, J. London Math. Soc. 21, 62–80 (1980). J. HUMPHREYS, Conjugacy Classes in Semisimple Algebraic Groups, AMS, Providence, Rhode Island (1995).
86, 1 – 15 (1967) Richardson, R. W. : Conjugacy classes in parabolic subgroups of semisimple algebraic groups, Bull. London Math. Soc. 6, 21 - 24 (1974) Rim, D. S. : Formal deformation theory, in SGA 7, I, Lecture Notes in Math.