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Abstract: We build representations of the affine and double affine braid groups andHecke algebras of type $C^\vee C n$, based upon the theory of quantum symmetricpairs $U,B$. In the case $U=U qgl N$, our constructions provide aquantization of the representations constructed by Etingof, Freund and Ma inarXiv:0801.1530, and also a type $BC$ generalization of the results inarXiv:0805.2766.



Author: David Jordan, Xiaoguang Ma

Source: https://arxiv.org/



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