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Representation type of Jordan algebras
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2011)
The problem of classification of Jordan bit-nodules over (non-semisimple) finite dimensional Jordan algebras with respect to their representation type is considered. The notions of diagram of a Jordan algebra and of Jordan ...
Finite rank perturbations of linear relations and matrix pencils
(Birkhauser Verlag Ag, 2021-02)
We elaborate on the deviation of the Jordan structures of two linear relations that are finite-dimensional perturbations of each other. We compare their number of Jordan chains of length at least n. In the operator case, ...
Identidades polinomiais para a álgebra de Jordan das matrizes triangulares superiores 2x2
(Universidade Federal de São CarlosUFSCarPrograma de Pós-Graduação em Matemática - PPGMCâmpus São Carlos, 2021-10-28)
Let K be a field (finite or infinite) of char(K) ≠ 2, and let UTn = UTn(K) be the n x n upper triangular matrix algebra over K. If · is the usual product on UTn, then with the new product a ○ b = (1/2)(a·b + b·a), UTn ...
Calculo exacto de la matriz exponencial
(Pontificia Universidad Católica del PerúPE, 2017)
Homomorfismo de Jordan de anéis de matrizes
(BrasilDepartamento de MatemáticaPrograma de Pós-Graduação em MatemáticaUEMMaringá, PRCentro de Ciências Exatas, 2019)
A simple demonstration of the existence of the jordan canonical form for any square matrix
(2010-07-01)
All the demonstrations known to this author of the existence of the Jordan Canonical Form are somewhat complex - usually invoking the use of new spaces, and what not. These demonstrations are usually too difficult for an ...
Vertex operators and Jordan fields
(1988-11-24)
The construction of Lie algebras in terms of Jordan algebra generators is discussed. The key to the construction is the triality relation already incorporated into matrix products. A generalisation to Kac-Moody algebras ...
Vertex operators and Jordan fields
(1988-11-24)
The construction of Lie algebras in terms of Jordan algebra generators is discussed. The key to the construction is the triality relation already incorporated into matrix products. A generalisation to Kac-Moody algebras ...
Exceptional point in a simple textbook example
(IOP Publishing, 2018-05)
We propose to introduce the concept of exceptional points in intermediate courses on mathematics and classical mechanics by means of simple textbook examples. The first one is an ordinary second-order differential equation ...