Raman Preeti and Jean-Pierre Tignol: Multipliers of Improper Similitudes

preeti.raman@math.univ-rennes1.fr, tignol@math.ucl.ac.be

Submission: 2004, Feb 11

The multipliers of similitudes of a central simple algebra with orthogonal involution over a field of characteristic different from 2 are related with the Clifford algebra. As a consequence, a complete description of the group of multipliers is given when the degree of the algebra is at most 6 or when the virtual cohomological dimension of the base field is at most 2.

2000 Mathematics Subject Classification: 11E72

Keywords and Phrases: Central simple algebra with involution, hermitian form, Clifford algebra, similitude.

Full text: dvi.gz 32 k, dvi 85 k, ps.gz 522 k, pdf.gz 165 k, pdf 197 k.

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