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.
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