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arxiv: 1710.01806 · v1 · pith:6LS5K2BWnew · submitted 2017-10-04 · 🧮 math.QA

Drinfeld-Sokolov reduction in quantum algebras

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keywords algebrasreductiondrinfeld-sokolovquantumapplyingassociatedbraidedcayley-hamilton
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Applying the method of the paper [CT], we perform a quantum version of the Drinfeld-Sokolov reduction in Reflection Equation algebras and braided Yangians, associated with involutive and Hecke symmetries of general forms. This reduction is based on the Cayley-Hamilton identity valid for the generating matrices of these algebras.

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