Abstract
The question whether there exists a commutative ringA for which there is an element in the 2-torsion of the Brauer group not represented by a Clifford algebra was raised by Alex Hahn. Such an example is constructed in this paper and is arrived at using certain results of Parimala-Sridharan and Parimala-Scharlau which are also reviewed here.
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Dedicated to the memory of Professor K G Ramanathan
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Parimala, R., Sridharan, R. Non-surjectivity of the Clifford invariant map. Proc Math Sci 104, 49–56 (1994). https://doi.org/10.1007/BF02830873
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DOI: https://doi.org/10.1007/BF02830873