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St. Petersburg Mathematical Journal

ISSN 1547-7371(online) ISSN 1061-0022(print)

 

 

Restricting the Rost invariant to the center


Authors: S. Garibaldi and A. Quéguiner-Mathieu
Original publication: Algebra i Analiz, tom 19 (2007), nomer 2.
Journal: St. Petersburg Math. J. 19 (2008), 197-213
MSC (2000): Primary 12G05
DOI: https://doi.org/10.1090/S1061-0022-08-00993-X
Published electronically: February 1, 2008
MathSciNet review: 2333896
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Abstract: For simple simply connected algebraic groups of classical type, Merkurjev, Parimala, and Tignol gave a formula for the restriction of the Rost invariant to the torsors induced from the center of the group. This paper completes their results by giving formulas for the exceptional groups. The method is somewhat different and also recovers their formula for classical groups.


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Additional Information

S. Garibaldi
Affiliation: Department of Mathematics & Computer Science, Emory University, Atlanta, Georgia 30322
Email: skip@member.ams.org

A. Quéguiner-Mathieu
Affiliation: Laboratoire Analyse, Géométrie & Applications, UMR CNRS 7539, Institut Galilée, Université Paris 13, 93430 Villetaneuse, France
Email: queguin@math.univ-paris13.fr

DOI: https://doi.org/10.1090/S1061-0022-08-00993-X
Keywords: Algebraic groups of classical type, exceptional groups, Rost invariant
Received by editor(s): July 27, 2006
Published electronically: February 1, 2008
Article copyright: © Copyright 2008 American Mathematical Society