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• W2085486927 abstract "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 biinvariants is proved isomorphic to the Weyl group invariants of the character group ring associated to the restricted roots. As a consequence, there is either a unique set, or an (almost) unique two-parameter set of Weyl group invariant quantum zonal spherical functions associated to an irreducible symmetric pair. Included is a complete and explicit list of the generators and relations for the left coideal subalgebras of the quantized enveloping algebra used to form quantum symmetric pairs." @default.
• W2085486927 created "2016-06-24" @default.
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• W2085486927 date "2003-09-01" @default.
• W2085486927 modified "2023-09-27" @default.
• W2085486927 title "Quantum Symmetric Pairs and Their Zonal Spherical Functions" @default.
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• W2085486927 doi "https://doi.org/10.1007/s00031-003-0719-9" @default.
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