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Generalized symmetry classes of tensors

Gholamreza Rafatneshan, Yousef Zamani (2020)

Czechoslovak Mathematical Journal

Let V be a unitary space. For an arbitrary subgroup G of the full symmetric group S m and an arbitrary irreducible unitary representation Λ of G , we study the generalized symmetry class of tensors over V associated with G and Λ . Some important properties of this vector space are investigated.

Generating functions and Bézoutians

Vlastimil Pták (1996)

Mathematica Bohemica

Using the idea of the generating function of a matrix in an extended sense we establish a Bezoutian type formula for a matrix M satisfying an intertwining relation of the form M A T = A M . In the particular case of classical generating functions this formula gives a simple proof of Lander’s theorem on the inverse of a Hankel matrix.

Generation of all magic squares of order 5 and interesting patterns finding

Ziqi Lin, Sijie Liu, Kai-Tai Fang, Yuhui Deng (2016)

Special Matrices

This paper presents an enumeration algorithm to generate all magic squares of order 5 based on the ideas of basic form (Schroeppel [7]) and generating vector which is extension of Frénicle Quads (Ollerenshaw and Bondi [6]). The results lead us to extend Frénicle-Amela patterns from the case of order 4 to the case of order 5, which we refer to Frénicle-Amela-Like patterns. We show that these interesting Frénicle-Amela-Like patterns appear simultaneously. The number of these patterns is also calculated....

Gens de R n

D. Lacaze (1984)

Mathématiques et Sciences Humaines

Geometría de gramianos en el espacio de Hilbert.

Pedro J. Burillo López, Joaquín Aguilella Almer (1981)

Stochastica

The purpose of the Part I of this paper is to develop the geometry of Gram's determinants in Hilbert space. In Parts II and III a generalization is given of the Pythagorean theorem and triangular inequality for finite vector families.

Geometric Structures in Bundlesof Associative Algebras

Igor M. Burlakov (2016)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

The article deals with bundles of linear algebra as a specifications of the case of smooth manifold. It allows to introduce on smooth manifold a metric by a natural way. The transfer of geometric structure arising in the linear spaces of associative algebras to a smooth manifold is also presented.

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