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- W4321611412 abstract "Abstract Let G be a simple linear algebraic group defined over an algebraically closed field of characteristic p ≥ 0 and let ϕ be a nontrivial p -restricted irreducible representation of G . Let T be a maximal torus of G and s ϵ T . We say that s is Ad - regular if α ( s ) ≠ β ( s ) for all distinct T -roots α and β of G . Our main result states that if all but one of the eigenvalues of ϕ ( s ) are of multiplicity 1 then, with a few specified exceptions, s is Ad-regular. This can be viewed as an extension of our earlier work, in which we show that, under the same hypotheses, either s is regular or G is a classical group and ϕ is “essentially” (a twist of) the natural representation of G ." @default.
- W4321611412 created "2023-02-24" @default.
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- W4321611412 date "2023-02-20" @default.
- W4321611412 modified "2023-10-16" @default.
- W4321611412 title "ALMOST CYCLIC REGULAR SEMISIMPLE ELEMENTS IN IRREDUCIBLE REPRESENTATIONS OF SIMPLE ALGEBRAIC GROUPS" @default.
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- W4321611412 doi "https://doi.org/10.1007/s00031-023-09793-5" @default.
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