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The discriminant of a symplectic involution

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Berhuy, Grégory [Ecole Polytechnique Fédérale de Lausanne] Monsurrò, Marina [Ecole Polytechnique Fédérale de Lausanne] Tignol, Jean-Pierre [UCL]

An invariant for symplectic involutions on central simple algebras of degree divisible by 4 over fields of characteristic different from 2 is defined on the basis of Rost's cohomological invariant of degree 3 for torsors under symplectic groups. We relate this invariant to trace forms and show how its triviality yields a decomposability criterion for algebras of degree 8 with symplectic involution.

Document type Article de périodique (Journal article) – Article de recherche
Access type Accès restreint
Publication date 2003
Language Anglais
Journal information "Pacific Journal of Mathematics" - Vol. 209, no. 2, p. 201-218 (2003)
Peer reviewed yes
Publisher Pacific Journal Mathematics (Berkeley)
issn 0030-8730
Publication status Publié
Affiliation UCL
Links
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  3. Knus Max-Albert, Merkurjev Alexander, Rost Markus, Tignol Jean-Pierre, The Book of Involutions, ISBN:9780821809044, 10.1090/coll/044
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  7. Quéguiner Anne, Cohomological Invariants of Algebras with Involution, 10.1006/jabr.1996.7015
  8. Rost, Doc. Math., 1, 319 (1996)
  9. Shapiro Daniel B, Tignol Jean-Pierre, Wadsworth Adrian R, Witt rings and Brauer groups under multiquadratic extensions. II, 10.1016/0021-8693(82)90102-8
Bibliographic reference Berhuy, Grégory ; Monsurrò, Marina ; Tignol, Jean-Pierre. The discriminant of a symplectic involution. In: Pacific Journal of Mathematics, Vol. 209, no. 2, p. 201-218 (2003)
Permanent URL http://hdl.handle.net/2078.1/41123