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Cohomological Invariants of Central Simple Algebras with Involution

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Tignol, Jean-Pierre [UCL]

This survey reviews the various invariants with values in Galois cohomology groups that have been defined for involutions on central simple algebras following the model of the discriminant, Clifford invariant, and Arason invariant of quadratic forms. From the orthogonal case to the unitary case to the symplectic case, the degree of the invariants increase but their properties are similar.

Document type Contribution à ouvrage collectif (Book Chapter) – Chapitre
Access type Accès restreint
Publication date 2010
Language Anglais
Host document Jean-Louis Colliot-Thélène, Skip Garibaldi, R. Sujatha, Venapally Suresh, eds ; "Quadratic Forms, Linear Algebraic Groups, and Cohomology"- p. 137-171 (ISBN : 978-1-4419-6210-2)
Collection Developments in Mathematics - 18
Publisher Springer (New York Dordrecht Heidelberg London)
Publication status Publié
Affiliation UCL - SST/ICTM/INMA - Pôle en ingénierie mathématique
Links
Bibliographic reference Tignol, Jean-Pierre. Cohomological Invariants of Central Simple Algebras with Involution. In: Jean-Louis Colliot-Thélène, Quadratic Forms, Linear Algebraic Groups, and Cohomology, Springer  : New York Dordrecht Heidelberg London 2010, p. 137-171
Permanent URL http://hdl.handle.net/2078.1/77235