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Conditions on decomposable symmetric tensors as an algebraic variety
Authors:M H Lim
Institution:Department of Mathematics , University of Malaya , Kuala Lumpur, Malaysia
Abstract:Let V be a finite dimensional vector space of dimension at least 2 over an infinite field F. We show that the set of all decomposable elements in the rth symmetric product space over i:V(r≥ 2) is an algebraic set if F is algebraically closed and only if every polynomial of degree at most r splits completcly over F.
Keywords:
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