arXiv Analytics

Sign in

arXiv:2406.08017 [math.RT]AbstractReferencesReviewsResources

The defect of weak approximation for a reductive group over a global field

Mikhail Borovoi

Published 2024-06-12Version 1

Using ideas of Sansuc and of Colliot-Th\'el\`ene and a result of Tate, we compute the defect of weak approximation for a reductive group G over a global field K in terms of the algebraic fundamental group of G.

Comments: 12 pages; comments are welcome!
Categories: math.RT, math.AG, math.GR, math.NT
Subjects: 11E72, 20G10, 20G20, 20G25, 20G30
Related articles: Most relevant | Search more
arXiv:1610.00284 [math.RT] (Published 2016-10-02)
Whittaker supports for representations of reductive groups
arXiv:1205.0870 [math.RT] (Published 2012-05-04, updated 2012-07-09)
Representations of affine Kac-Moody groups over local and global fields: a survey of some recent results
arXiv:2305.02980 [math.RT] (Published 2023-05-04)
Equivariant derived category of a reductive group as a categorical center

Links

Toolbox