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Complete reducibility: variations on a theme of Serre
2021
Manuscripta mathematica
AbstractIn this note, we unify and extend various concepts in the area of G-complete reducibility, where G is a reductive algebraic group. By results of Serre and Bate–Martin–Röhrle, the usual notion of G-complete reducibility can be re-framed as a property of an action of a group on the spherical building of the identity component of G. We show that other variations of this notion, such as relative complete reducibility and $$\sigma $$ σ -complete reducibility, can also be viewed as special
doi:10.1007/s00229-021-01318-2
fatcat:cpuffrdarnfo3h6qxpvnzci3zy