Displaying similar documents to “A logical alternative to the existing positional number system.”

A reverse engineering approach to the Weil representation

Anne-Marie Aubert, Tomasz Przebinda (2014)

Open Mathematics

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We describe a new approach to the Weil representation attached to a symplectic group over a finite or a local field. We dissect the representation into small pieces, study how they work, and put them back together. This way, we obtain a reversed construction of that of T. Thomas, skipping most of the literature on which the latter is based.

On the representation systems with respect to summation methods

K. S. Kazarian (2006)

Banach Center Publications

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Properties of representation systems with respect to summation methods are studied. For a given representation system with respect to a given summation method we study, in particular, the question of the stability of that property after deleting finitely many elements. As a consequence we obtain the existence of null series for the systems with respect to a given method of summation.