On the bilinear structure associated to Bezoutians - Mathematics > Commutative AlgebraReport as inadecuate




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Abstract: This paper is partly a survey of known results on quadratic forms that arehard to find in the literature. Our main focus is a twisted form of aconstruction due to Bezout. This skew Bezoutian is a symplectic resp.quadratic space associated to a pair of reciprocal or skew reciprocalcoprime polynomials of same degree. The isometry group of this space turns outto contain a certain associated hypergeometric group. Using the skew Bezoutianwe construct explicit isometries of bilinear spaces with given invariants suchas the characteristic polynomial or Jordan form and, in the quadratic case, thespinor norm.



Author: Florent Jouve, Fernando Rodriguez-Villegas

Source: https://arxiv.org/







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