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math.CA2024
-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…
math.RT2024
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…