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arXiv · 0908.3013

Quantum symmetric pairs and representations of double affine Hecke algebras of type $C^\vee C_n$

David Jordan·Xiaoguang Ma
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Abstract

We build representations of the affine and double affine braid groups and Hecke algebras of type $C^\vee C_n$, based upon the theory of quantum symmetric pairs $(U,B)$. In the case $U=U_q(gl_N)$, our constructions provide a quantization of the representations constructed by Etingof, Freund and Ma in arXiv:0801.1530, and also a type $BC$ generalization of the results in arXiv:0805.2766.

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BibTeXRIS

David Jordan, Xiaoguang Ma. 2009-08-20. Quantum symmetric pairs and representations of double affine Hecke algebras of type $C^\vee C_n$. https://doi.org/10.1007/s00029-010-0037-8

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