Displaying similar documents to “On the representation systems with respect to summation methods”

A reverse engineering approach to the Weil representation

Anne-Marie Aubert, Tomasz Przebinda (2014)

Open Mathematics

Similarity:

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.

Definable Davies' theorem

Asger Törnquist, William Weiss (2009)

Fundamenta Mathematicae

Similarity:

We prove the following descriptive set-theoretic analogue of a theorem of R. O. Davies: Every Σ¹₂ function f:ℝ × ℝ → ℝ can be represented as a sum of rectangular Σ¹₂ functions if and only if all reals are constructible.

A Lagrangian representation of tangles II

David Cimasoni, Vladimir Turaev (2006)

Fundamenta Mathematicae

Similarity:

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.

On the Stability of Orthogonal Additivity

Włodzimierz Fechner, Justyna Sikorska (2010)

Bulletin of the Polish Academy of Sciences. Mathematics

Similarity:

We deal with the stability of the orthogonal additivity equation, presenting a new approach to the proof of a 1995 result of R, Ger and the second author. We sharpen the estimate obtained there. Moreover, we work in more general settings, providing an axiomatic framework which covers much more cases than considered before by other authors.