114 citations · 147 across the 5 of their papers we have counts for
5 papers
Some limit transitions between BC type orthogonal polynomials interpreted on quantum complex Grassmannians
Mathijs S. Dijkhuizen, Jasper V. Stokman
The quantum complex Grassmannian U_q/K_q of rank l is the quotient of the quantum unitary group U_q=U_q(n) by the quantum subgroup K_q=U_q(n-l)xU_q(l). We show that (U_q,K_q) is a…
Quantized flag manifolds and irreducible *-representations
Jasper V. Stokman, Mathijs S. Dijkhuizen
We study irreducible *-representations of a certain quantization of the algebra of polynomial functions on a generalized flag manifold regarded as a real manifold. All irreducible…
A family of quantum projective spaces and related q-hypergeometric orthogonal polynomials
M. S. Dijkhuizen, M. Noumi
We define a one-parameter family of two-sided coideals in U_q(gl(n)) and study the corresponding algebras of infinitesimally right invariant functions on the quantum unitary group…
Some remarks on the construction of quantum symmetric spaces
Mathijs S. Dijkhuizen
We present a general survey of some recent developments regarding the construction of compact quantum symmetric spaces and the analysis of their zonal spherical functions in terms…
CQG algebras: a direct algebraic approach to compact quantum groups
Mathijs S. Dijkhuizen, Tom H. Koornwinder
The purely algebraic notion of CQG algebra (algebra of functions on a compact quantum group) is defined. In a straightforward algebraic manner, the Peter-Weyl theorem for CQG algeb…