arXiv subjects

A. C. de la Maza

Publications and source records attributed to A. C. de la Maza.

3 recordsLinked to original sources

arXiv2007

Bernstein-Szego Polynomials Associated with Root Systems

We introduce multivariate generalizations of the Bernstein-Szego polynomials, which are associated to the root systems of the complex simple Lie algebras. The multivariate polynomials in question generalize Macdonald's Hall-Littlewood polynomials associated with root systems. For the root system of type A1 (corresponding to the Lie algebra SL (2;C)) the classic Bernstein-Szego polynomials are recovered.

math.CO↗

arXiv2004

Generalization of the second trace form of central simple algebras in characteristic two

Let F be a field with characteristic two. We generalize the second trace form for central simple algebras with odd degree over F. We determine the second trace form and the Arf invariant and Clifford invariant for tensor products of central simple algebras.

math.NT↗

arXiv2004

Classes of forms Witt equivalent to a second trace form over fields of characteristic two

Let F be a field of characteristic two. We determine all non-hyperbolic quadratic forms over F that are Witt equivalent to a second trace form.

math.NT↗