Semilinear automorphisms of classical groups and quivers

• 来源期刊: 中国科学：数学（英文版）
• 年，卷（期）: 2019,（11）
• 页码范围: 2355-2370
• 页数: 16页
• 语种: 英文

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)).