24 citations · 24 across the 6 of their papers we have counts for
6 papers
-potent Schwarz matrices and Bessel-like Jacobi polynomials
Alexander Dyachenko, Carlos M. da Fonseca, Mikhail Tyaglov
We consider the problem of the reconstruction of a Schwarz matrix from exactly one given eigenvalue. This inverse eigenvalue problem leads to the Jacobi orthogonal polynomials~$\{P…
Gelfand-Tsetlin modules for Lie algebras of rank
Milica Anđelić, Carlos M. da Fonseca, Vyacheslav Futorny +1
We explicitly construct families of simple modules for Lie algebras of rank , on which certain commutative subalgebra acts diagonally and has a simple spectrum. In type thes…
Topological classification of systems of bilinear and sesquilinear forms
Carlos M. da Fonseca, Vyacheslav Futorny, Tetiana Rybalkina +1
Let and be two systems consisting of the same vector spaces and bilinear or sesquilinear forms $A_i,B_i:\mathbb C^{n_{k(i)…
The -permanent, a new graph labeling, and a known integer sequence
Milica Anđelić, Carlos M. da Fonseca, António Pereira
Let be an -by- matrix. For any real number , we define the polynomial as the -permane…
Basic trigonometric power sums with applications
Carlos M. da Fonseca, M. Lawrence Glasser, Victor Kowalenko
We present the transformation of several sums of positive integer powers of the sine and cosine into non-trigonometric combinatorial forms. The results are applied to the derivatio…
Stability of Linear Flocks on a Ring Road
J. J. P. Veerman, C. M. da Fonseca
We discuss some stability problems when each agent of a linear flock on the line interacts with its two nearest neighbors (one on either side).