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Invariant differential operators for quantum symmetric spaces, II
Gail Letzter
The two papers in this series analyze quantum invariant differential operators for quantum symmetric spaces in the maximally split case. In this paper, we complete the proof of a q…
Invariant differential operators for quantum symmetric spaces, I
Gail Letzter
This is the first paper in a series of two which proves a version of a theorem of Harish-Chandra for quantum symmetric spaces in the maximally split case: There is a Harish-Chandra…
Quantum Zonal Spherical Functions and Macdonald Polynomials
Gail Letzter
A unified theory of quantum symmetric pairs is applied to q-special functions. Previous work characterized certain left coideal subalgebras in the quantized enveloping algebra and…
Quantum Symmetric Pairs and Their Zonal Spherical Functions
Gail Letzter
We study the space of biinvariants and zonal spherical functions associated to quantum symmetric pairs in the maximally split case. Under the obvious restriction map, the space of…
Coideal Subalgebras and Quantum Symmetric Pairs
Gail Letzter
Coideal subalgebras of the quantized enveloping algebra are surveyed, with selected proofs included. The first half of the paper studies generators, Harish-Chandra modules, and ass…