Abstract
We present a biequivariant version of Kremnizer–Tanisaki localization theorem for quantum DDmodules. We also obtain an equivalence between a category of finitely generated equivariant modules over a quantum group and a category of finitely generated modules over a q–W algebra which can be regarded as an equivariant quantum group version of Skryabin equivalence. The biequivariant localization theorem for quantum DDmodules together with the equivariant quantum group version of Skryabin equivalence yield an equivalence between a certain category of quantum biequivariant DDmodules and a category of finitely generated modules over a q–W algebra.
Original language  English 

Pages (fromto)  583626 
Number of pages  44 
Journal  Proceedings of the London Mathematical Society 
Volume  113 
Issue number  5 
Early online date  27 Sep 2016 
DOIs  
Publication status  Published  Nov 2016 
Keywords
 D–module
 W–algebra
 quantum group
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Alexey Sevostyanov
Person: Academic