Semilinear automorphisms of classical groups and quivers
Name
1910.06184.pdf
Description
Accepted version
Size
246.24 KB
Format
Adobe PDF
Checksum (MD5)
8af97906be9bcae4eb746b1cd39a8d10
Author(s)
Yang, Jinwei
Yun, Zhiwei
Date Issued
October 2019
Journal
Science China Mathematics
Publisher
Springer Science and Business Media LLC
Citation
Yang, Jinwei, and Zhiwei Yun. "Semilinear automorphisms of classical groups and quivers." Science China Mathematics, 62, 11 (October 2019): 2355-2370.
Version
Author's final manuscript
Abstract
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)).
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1007/s11425-019-1612-8
