In this paper, we determine the index of the Clifford algebras of 6-dimensional quadratic forms over a field whose characteristic is unequal to 2. In the case that the characteristic is equal to 2, we compute the Clifford algebras of the Scharlau’s transfer of 4-dimensional quadratic forms with trivial Arf invariant, and then investigate how the index of the Clifford algebra of q depends on orthogonal decompositions of q when q is a low dimensional quadratic form.
@article{1523,
title = {On the Index of Clifford Algebras of Quadratic Forms},
journal = {CUBO, A Mathematical Journal},
volume = {10},
year = {2008},
language = {en},
url = {http://dml.mathdoc.fr/item/1523}
}
Yano, Syouji. On the Index of Clifford Algebras of Quadratic Forms. CUBO, A Mathematical Journal, Tome 10 (2008) . http://gdmltest.u-ga.fr/item/1523/