Multipliers of improper similitudes
Documenta mathematica, Tome 9 (2004), pp. 183-204
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.
Classification :
11E72
Mots-clés : central simple algebra with involution, Hermitian form, Clifford algebra, similitude
Mots-clés : central simple algebra with involution, Hermitian form, Clifford algebra, similitude
@article{10_4171_dm_164,
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/}
}
R. Preeti; J.-P. Tignol. Multipliers of improper similitudes. Documenta mathematica, Tome 9 (2004), pp. 183-204. doi: 10.4171/dm/164
Cité par Sources :