Non-surjectivity of the Clifford invariant map

Parimala, R. ; Sridharan, R. (1994) Non-surjectivity of the Clifford invariant map Proceedings of the Indian Academy of Sciences - Mathematical Sciences, 104 (1). pp. 49-56. ISSN 0253-4142

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Official URL: http://www.ias.ac.in/j_archive/mathsci/104/1/49-56...

Related URL: http://dx.doi.org/10.1007/BF02830873

Abstract

The question whether there exists a commutative ring A 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.

Item Type:Article
Source:Copyright of this article belongs to Indian Academy of Sciences.
Keywords:Quadratic Forms; Clifford Invariant; Brauer Group; Canonical Class
ID Code:34537
Deposited On:22 Apr 2011 14:31
Last Modified:17 May 2016 17:25

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