Author： Omar M. R.
Publisher： Taylor & Francis Ltd
ISSN： 0092-7872
Source： Communications in Algebra, Vol.38, Iss.4, 2010-04, pp. : 1351-1362
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Abstract
We compute the Lie algebra of a higher degree hyperbolic alternating form, which generalizes the symplectic algebra to higher degrees. We use this to show that hyperbolic forms descend under scalar extension. An immediate consequence is that a version of the weak Hasse-Minkowski Theorem is valid for alternating forms of higher degree.
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