An invariant determining the Witt class of a unitary transformation over a semisimple ring

The Reduced Witt Ring of a Formally

The reduced Witt rings of certain formally real fields are computed here in terms of some basic arithmetic invariants of the fields. For some fields, including the rational function field in one variable over the rational numbers and the rational function field in two variables over the real numbers, this is done by computing the image of the total signature map on the Witt ring. For a wider cl...

Quadratic Forms over Fields Ii: Structure of the Witt Ring

Invariant Integration over the Unitary Group

Integrals for the product of unitary-matrix elements over the U (n) group will be discussed. A group-theoretical formula is available to convert them into a multiple sum, but unfortunately the sums are often tedious to compute. In this paper, we develop an alternative method in which these sums are avoided, and group theory is rendered unnecessary. Only unitarity and the invariance of the Haar ...

a structural survey of the polish posters

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an investigation of the types of text reduction in subtitling: a case study of the persian film gilaneh with english subtitles

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