Preeti, R.; Tignol, J.-P.

Multipliers of improper similitudes

Doc. Math., J. DMV 9, 183-204 (2004)

Summary

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.

Mathematics Subject Classification

11E72

Keywords/Phrases

central simple algebra with involution, Hermitian form, Clifford algebra, similitude

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