Multipliers of Improper Similitudes

Preeti, Raman;Tignol, Jean-Pierre
(2004) Documenta Mathematica — Vol. 9, n° 1, p. 183-204 (2004)

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  • Preeti, RamanEidgenössische Technische Hochschule Zürich
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Abstract
For a central simple algebra with an orthogonal involution (A, σ) over a field k of characteristic different from 2, we relate the multipliers of similitudes of (A, σ) with the Clifford algebra C(A, σ). We also give a complete description of the group of multipliers of similitudes when deg A ≤ 6 or when the virtual cohomological dimension of k is at most 2.
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Citations

Preeti, R., & Tignol, J.-P. (2004). Multipliers of Improper Similitudes. Documenta Mathematica, 9(1), 183-204. https://hdl.handle.net/2078.5/268653 (Original work published 2004)