Semilinear automorphisms of classical groups and quivers

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...

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Bibliographic Details
Main Authors: Yang, Jinwei, Yun, Zhiwei
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: Springer Science and Business Media LLC 2020
Online Access:https://hdl.handle.net/1721.1/126104