Displaying similar documents to “Scaled trace forms of central simple algebras.”

On quadratic Hurwitz forms. I

Jiří Gregor (1981)

Aplikace matematiky

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Homogeneous quadratic polynomials f in n complex variables are investigated and various necessary and sufficient conditions are given for f to be nonzero in the set Γ ( n ) = z ∈ C ( n ) : R e z > 0 . Conclusions for the theory of multivariable positive real functions are formulated with applications in multivariable electrical network theory.

On the annihilating ideal for trace forms

Martin Epkenhans (2003)

Journal de théorie des nombres de Bordeaux

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We give several examples of classes of trace forms for which the ideal of annihilating polynomials is principal. We prove, that in general, the annihilating ideal is not a principal ideal.

Conjugacy and factorization results on matrix groups

Thomas Laffey (1994)

Banach Center Publications

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In this survey paper, we present (mainly without proof) a number of results on conjugacy and factorization in general linear groups over fields and commutative rings. We also present the additive analogue in matrix rings of some of these results. The first section deals with the question of expressing elements in the commutator subgroup of the general linear group over a field as (simple) commutators. In Section 2, the same kind of problem is discussed for the general linear group over...