Automorphisms with order three of affine Lie algebras  

作　　者：JIN Quanqin 1,2 and HOU Zixin 2 1. Department of Mathematics, Hebei University, Baoding 071002, China 2. Department of Mathematics, Nankai University, Tianjin 300071, China 

出　　处：《Chinese Science Bulletin》1998年第21期1793-1798,共6页

基　　金：ThisworkwassupportedbytheNationalNaturalScienceFoundationofChina (GrantNo .197310 0 4)andtheNaturalScienceFoundationofHebeiProvince

摘　　要：Some properties of automorphisms of affine Lie algebras are presented. Automorphisms with order three are classified up to conjugacy, and their fixed point sets are also computed. As a corollary, it is proved that two automorphisms of order three are conjugate if and only if their fixed point sets are isomorphic.Some properties of automorphisms of affine Lie algebras are presented. Automorphisms with order three are classified up to conjugacy, and their fixed point sets are also computed. As a corollary, it is proved that two automorphisms of order three are conjugate if and only if their fixed point sets are isomorphic.

关 键 词：AFFINE LIE ALGEBRA AUTOMORPHISM of order THREE first (second) kind of automorphism. 

分 类 号：O186.13[理学—数学]