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Restricting the Rost invariant to the center
Author(s):
S.
Garibaldi;
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
Posted:
February 1, 2008
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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.
References:
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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:
10.1090/S1061-0022-08-00993-X
PII:
S 1061-0022(08)00993-X
Keywords:
Algebraic groups of classical type,
exceptional groups,
Rost invariant
Received by editor(s):
27/JUL/2006
Posted:
February 1, 2008
Copyright of article:
Copyright
2008,
American Mathematical Society
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