Semilinear automorphisms of classical groups and quivers  

作　　者：Jinwei Yang Zhiwei Yun 

机构地区：[1]Department of Mathematical and Statistical Sciences,University of Alberta,Edmonton,AB T6G 2G1,Canada [2]Department of Mathematics,Massachusetts Institute of Technology,Cambridge,MA 02139,USA

出　　处：《Science China Mathematics》2019年第11期2355-2370,共16页中国科学：数学（英文版）

基　　金：supported by the Packard Foundation

摘　　要：For a classical group G over a field F together with a finite-order automorphism θ that acts compatibly on F, we describe the fixed point subgroup of θ on G and the eigenspaces of θ on the Lie algebra g in terms of cyclic quivers with involution. More precise classification is given when g is a loop Lie algebra, i.e.,when F = C((t)).For a classical group G over a field F together with a finite-order automorphism θ that acts compatibly on F, we describe the fixed point subgroup of θ on G and the eigenspaces of θ on the Lie algebra g in terms of cyclic quivers with involution. More precise classification is given when g is a loop Lie algebra, i.e.,when F = C((t)).

关 键 词：SEMILINEAR AUTOMORPHISMS CLASSICAL GROUPS QUIVER 

分 类 号：O15[理学—数学]