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 semi-simple 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 semi-simple 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