### On Berberian's representation

N. Ivanovski (1975)

Matematički Vesnik

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N. Ivanovski (1975)

Matematički Vesnik

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Tomasz Łuczak, Tomasz Schoen (2008)

Acta Arithmetica

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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.

Forslund, Robert R. (1995)

Southwest Journal of Pure and Applied Mathematics [electronic only]

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Shigeki Akiyama, Hui Rao (2004)

Acta Arithmetica

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Yong-Gao Chen, Min Tang (2011)

Acta Arithmetica

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Repka, Joe (1978)

International Journal of Mathematics and Mathematical Sciences

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Franciszek Hugon Szafraniec (2007)

Banach Center Publications

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Jiří Novák (1981)

Časopis pro pěstování matematiky

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David Cimasoni, Vladimir Turaev (2006)

Fundamenta Mathematicae

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The present paper is a continuation of our previous paper [Topology 44 (2005), 747-767], where we extended the Burau representation to oriented tangles. We now study further properties of this construction.

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.

Abdulrahim, Mohammad N., Al-Tahan, Madline (2010)

International Journal of Mathematics and Mathematical Sciences

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Neuhauser, Markus (2002)

Journal of Lie Theory

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