2023
DOI: 10.1002/mana.202200214
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Envelopes and classifying spaces

Abstract: For a split semisimple algebraic group ๐ป with its split maximal torus ๐‘†, let ๐‘“ โˆถ CH(๎ˆฎ๐ป) โ†’ CH(๎ˆฎ๐‘†) ๐‘Š be the restriction homomorphism of the Chow rings CH of the classifying spaces ๎ˆฎ of ๐ป and ๐‘†, where ๐‘Š is the Weyl group. A constraint on the image of ๐‘“, given by the Steenrod operations, has been applied to the spin groups in a previous paper. Here, we describe and apply to the spin groups another constraint, which is given by the reductive envelopes of ๐ป. We also recover in this way some older results … Show more

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