Quantum Symmetric Pairs and the Reflection Equation
نویسندگان
چکیده
منابع مشابه
Quantum Symmetric Pairs and the Reflection Equation
It is shown that central elements in G. Letzter’s quantum group analogs of symmetric pairs lead to solutions of the reflection equation. This clarifies the relation between Letzter’s approach to quantum symmetric pairs and the approach taken by M. Noumi, T. Sugitani, and M. Dijkhuizen. We develop general tools to show that a Noumi-Sugitani-Dijkhuizen type construction of quantum symmetric pairs...
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We construct a bar involution for quantum symmetric pair coideal subalgebras Bc,s corresponding to involutive automorphisms of the second kind of symmetrizable Kac-Moody algebras. To this end we give unified presentations of these algebras in terms of generators and relations, extending previous results by G. Letzter and the second-named author. We specify precisely the set of parameters c for ...
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Let U denote the quantized enveloping algebra associated to a semisimple Lie algebra. This paper studies Harish-Chandra modules for the recently constructed quantum symmetric pairs U ,B in the maximally split case. Finite-dimensional U -modules are shown to be Harish-Chandra as well as the B-unitary socle of an arbitrary module. A classification of finite-dimensional spherical modules analogous...
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ژورنال
عنوان ژورنال: Algebras and Representation Theory
سال: 2008
ISSN: 1386-923X,1572-9079
DOI: 10.1007/s10468-008-9093-6