Embeddings of maximal tori in classical groups over local and global fields

2016 ◽  
Vol 80 (4) ◽  
pp. 17-34 ◽  
Author(s):  
Eva Bayer-Fluckiger ◽  
Eva Bayer-Fluckiger ◽  
Ting-Yu Lee ◽  
Ting-Yu Lee ◽  
Raman Parimala ◽  
...  
Keyword(s):  
Classical Groups ◽  
Global Fields ◽  
Maximal Tori

Embeddings of maximal tori in classical groups over local and global fields

2016 ◽  
Vol 80 (4) ◽  
pp. 647-664
Author(s):  
E Bayer-Fluckiger ◽  
T-Y Lee ◽  
R Parimala
Keyword(s):  
Classical Groups ◽  
Global Fields ◽  
Maximal Tori

scholarly journals Branching laws for classical groups: the non-tempered case

2020 ◽  
Vol 156 (11) ◽  
pp. 2298-2367
Author(s):  
Wee Teck Gan ◽  
Benedict H. Gross ◽  
Dipendra Prasad
Keyword(s):  
Representation Theory ◽  
Local Fields ◽  
Classical Groups ◽  
Global Fields ◽  
Root Numbers ◽  
Branching Laws ◽  
Local Root ◽  
Local Root Numbers

This paper generalizes the Gan–Gross–Prasad (GGP) conjectures that were earlier formulated for tempered or more generally generic L-packets to Arthur packets, especially for the non-generic L-packets arising from Arthur parameters. The paper introduces the key notion of a relevant pair of Arthur parameters that governs the branching laws for ${{\rm GL}}_n$ and all classical groups over both local fields and global fields. It plays a role for all the branching problems studied in Gan et al. [Symplectic local root numbers, central critical L-values and restriction problems in the representation theory of classical groups. Sur les conjectures de Gross et Prasad. I, Astérisque 346 (2012), 1–109] including Bessel models and Fourier–Jacobi models.

The cyclic structure of maximal tori of the finite classical groups

2007 ◽  
Vol 46 (2) ◽  
pp. 73-89 ◽  
Author(s):  
A. A. Buturlakin ◽  
M. A. Grechkoseeva
Keyword(s):  
Classical Groups ◽  
Cyclic Structure ◽  
Maximal Tori ◽  
Finite Classical Groups

scholarly journals Embeddings of maximal tori in classical groups and explicit Brauer–Manin obstruction

2017 ◽  
Vol 20 (1) ◽  
pp. 137-163
Author(s):  
Eva Bayer-Fluckiger ◽  
Ting-Yu Lee ◽  
Raman Parimala
Keyword(s):  
Classical Groups ◽  
Maximal Tori

Classical Groups, Derangements and Primes

2015 ◽  
Author(s):  
Timothy C. Burness ◽  
Michael Giudici
Keyword(s):  
Classical Groups
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