Embeddings of maximal tori in orthogonal groups

Eva Bayer-Fluckiger[1]

  • [1] EPFL-FSB-MATHGEOM-CSAG Station 8 1015 Lausanne (Switzerland)

Annales de l’institut Fourier (2014)

  • Volume: 64, Issue: 1, page 113-125
  • ISSN: 0373-0956

Abstract

top
We give necessary and sufficient conditions for an orthogonal group defined over a global field of characteristic ≠ 2 to contain a maximal torus of a given type.

How to cite

top

Bayer-Fluckiger, Eva. "Embeddings of maximal tori in orthogonal groups." Annales de l’institut Fourier 64.1 (2014): 113-125. <http://eudml.org/doc/275454>.

@article{Bayer2014,
abstract = {We give necessary and sufficient conditions for an orthogonal group defined over a global field of characteristic $\ne 2$ to contain a maximal torus of a given type.},
affiliation = {EPFL-FSB-MATHGEOM-CSAG Station 8 1015 Lausanne (Switzerland)},
author = {Bayer-Fluckiger, Eva},
journal = {Annales de l’institut Fourier},
keywords = {Orthogonal groups; maximal tori; orthogonal groups; maximal torus; étale algebra},
language = {eng},
number = {1},
pages = {113-125},
publisher = {Association des Annales de l’institut Fourier},
title = {Embeddings of maximal tori in orthogonal groups},
url = {http://eudml.org/doc/275454},
volume = {64},
year = {2014},
}

TY - JOUR
AU - Bayer-Fluckiger, Eva
TI - Embeddings of maximal tori in orthogonal groups
JO - Annales de l’institut Fourier
PY - 2014
PB - Association des Annales de l’institut Fourier
VL - 64
IS - 1
SP - 113
EP - 125
AB - We give necessary and sufficient conditions for an orthogonal group defined over a global field of characteristic $\ne 2$ to contain a maximal torus of a given type.
LA - eng
KW - Orthogonal groups; maximal tori; orthogonal groups; maximal torus; étale algebra
UR - http://eudml.org/doc/275454
ER -

References

top
  1. Rosali Brusamarello, Pascale Chuard-Koulmann, Jorge Morales, Orthogonal groups containing a given maximal torus, J. Algebra 266 (2003), 87-101 Zbl1079.11023MR1994530
  2. Andrew Fiori, Characterization of special points of orthogonal symmetric spaces, J. Algebra 372 (2012), 397-419 Zbl1316.11027MR2990017
  3. S. Garibaldi, A. Rapinchuk, Weakly commensurable S-arithmetic subgroups in almost simple algebraic groups of types B and C Zbl1285.20045
  4. P. Gille, Type des tores maximaux des groupes semi-simples, J. Ramanujan Math. Soc. 19 (2004), 213-230 Zbl1193.20057MR2139505
  5. T-Y. Lee, Embedding functors and their arithmetic properties Zbl1321.11043
  6. J. Milne, Complex Multiplication 
  7. John Milnor, On isometries of inner product spaces, Invent. Math. 8 (1969), 83-97 Zbl0177.05204MR249519
  8. O. Timothy O’Meara, Introduction to quadratic forms, (2000), Springer-Verlag, Berlin Zbl1034.11003MR1754311
  9. Gopal Prasad, Andrei S. Rapinchuk, Local-global principles for embedding of fields with involution into simple algebras with involution, Comment. Math. Helv. 85 (2010), 583-645 Zbl1223.11047MR2653693
  10. Winfried Scharlau, Quadratic and Hermitian forms, 270 (1985), Springer-Verlag, Berlin Zbl0584.10010MR770063

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.