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Braid group action on theq-Weyl algebra

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Abstract

We provide a braid group action on theq-deformed Weyl algebraW q (n). The restriction of this action to the representations ofU q (A n−1 ) andU q (C n ) inW q (n) is seen to agree with the braid group action introduced by Lusztig on these quantum algebras.

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Supported in part by the National Sciences and Engineering Research Council (NSERC) of Canada.

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Floreanini, R., Vinet, L. Braid group action on theq-Weyl algebra. Lett Math Phys 23, 151–158 (1991). https://doi.org/10.1007/BF00703729

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  • DOI: https://doi.org/10.1007/BF00703729

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