Multipliers of improper similitudes
Documenta mathematica, Tome 9 (2004), pp. 183-204
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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 degA≤6 or when the virtual cohomological dimension of k is at most 2.
DOI : 10.4171/dm/164
Classification : 11E72
Mots-clés : central simple algebra with involution, Hermitian form, Clifford algebra, similitude
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     author = {R. Preeti and J.-P. Tignol},
     title = {Multipliers of improper similitudes},
     journal = {Documenta mathematica},
     pages = {183--204},
     year = {2004},
     volume = {9},
     doi = {10.4171/dm/164},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/164/}
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R. Preeti; J.-P. Tignol. Multipliers of improper similitudes. Documenta mathematica, Tome 9 (2004), pp. 183-204. doi: 10.4171/dm/164

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