4 papers
math.QA2025
Quantum Matrix Spherical Functions
Stein Meereboer, Philip Schlösser
A general theory of matrix-spherical functions for dual Hopf algebras and right coideal subalgebras is developed. We establish their existence and define their orthogonality relati…
math.QA2025
Based morphisms for characters of quantum symmetric pairs
Stein Meereboer
We study based one-dimensional modules of quantum symmetric pairs over the field . We provide a complete classification of one-dimensional -modules that…
math.RT2025
Quantum spherical functions of type as Macdonald-Koornwinder polynomials
Stein Meereboer
The theory of quantum symmetric pairs is applied to -special functions. Previous work shows the existence of a family -spherical functions indexed by the integers for each H…
math.RT2025
Symmetries for spherical functions of type for quantum symmetric pairs
Stein Meereboer
Let be a complex semisimple Lie algebra and let denote the associated Drinfel'd Jimbo quantized enveloping algebra. In this paper we stu…