
Accession Number : AD0634734
Title : CONJUGACY CLASSES IN LIE ALGEBRAS AND ALGEBRAIC GROUPS.
Descriptive Note : Technical rept.,
Corporate Author : WASHINGTON UNIV SEATTLE DEPT OF MATHEMATICS
Personal Author(s) : Richardson,R. W. , Jr
Report Date : JUN 1966
Pagination or Media Count : 22
Abstract : Kostant has shown that a complex semisimple Lie algebra has only a finite number of nilpotent conjugacy classes. This paper shows how Kostant's theorem can be obtained as a special case of an elementary theorem on conjugacy classes in reductive subgroups of algebrais subgroups. As a corollary of this theorem we show that a semisimple algebrais group over an algebraically closed field of characteristic p > 5 has only a finite number of unipotent conjugacy classes. Related conjugacy theorems are proved for subalgebras and homomorphisms of Lie algebras. (Author)
Descriptors : (*ALGEBRAS, *GROUPS(MATHEMATICS)), ALGEBRAIC GEOMETRY
Subject Categories : Theoretical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE