Geodesic
Multipliers of improper similitudes
Documenta mathematica, Tome 9 (2004), pp. 183-204.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: For a central simple algebra with an orthogonal involution $(A, \sigma)$ over a field $k$ of characteristic different from 2, we relate the multipliers of similitudes of $(A, \sigma)$ with the Clifford algebra $C(A, \sigma)$. We also give a complete description of the group of multipliers of similitudes when $\deg A \leq 6$ or when the virtual cohomological dimension of $k$ is at most 2.
Classification : 11E72
Keywords: central simple algebra with involution, Hermitian form, Clifford algebra, similitude 
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     author = {Preeti, R. and Tignol, J.-P.},
     title = {Multipliers of improper similitudes},
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     year = {2004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DOCMA_2004__9__a18/}
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Preeti, R.; Tignol, J.-P. Multipliers of improper similitudes. Documenta mathematica, Tome 9 (2004), pp. 183-204. http://geodesic.mathdoc.fr/item/DOCMA_2004__9__a18/