On the Index of Clifford Algebras of Quadratic Forms
- Syouji Yano yano@gaia.math.wani.osaka-u.ac.jp
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Abstract
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.
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Published
2008-03-01
How to Cite
[1]
S. Yano, “On the Index of Clifford Algebras of Quadratic Forms”, CUBO, vol. 10, no. 1, pp. 19–32, Mar. 2008.
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