Envelopes and classifying spaces

Envelopes and classifying spaces

For a split semisimple algebraic group H with its split maximal torus S , let be the restriction homomorphism of the Chow rings of the classifying spaces of H and S , where W is the Weyl group. A constraint on the image of f , given by the Steenrod operations, has been applied to the spin groups in...

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Bibliographic Details
Published in:Mathematische Nachrichten Vol. 296; no. 10; pp. 4769 - 4777
Main Author: Karpenko, Nikita A.
Format: Journal Article
Language:English
Published: Weinheim Wiley Subscription Services, Inc 01-10-2023
Subjects:
Classification
Envelopes
Homomorphisms
Toruses
Online Access:Get full text
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Summary:For a split semisimple algebraic group H with its split maximal torus S , let be the restriction homomorphism of the Chow rings of the classifying spaces of H and S , where W is the Weyl group. A constraint on the image of f , 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 H . We also recover in this way some older results on orthogonal groups.
ISSN:0025-584X
1522-2616
DOI:10.1002/mana.202200214