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Matchings and Canonical Forms for Symmetric Tensors

✍ Scribed by C.Kenneth Fan; Jozsef Losonczy

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
429 KB
Volume
117
Category
Article
ISSN
0001-8708

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✦ Synopsis

Let V be a q-dimensional vector space. Fix a set B of q(q&1) monomials in S p (V) of the form x I where i k >0 for all k. The generic element of S p (V) is conjugate under a suitable linear transformation to an element with support off of B. We prove this by showing the existence of a perfect matching with a unique weight in a certain weighted bipartite graph. Such a perfect matching corresponds to the non-vanishing of an appropriate determinant.

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