Drinfeld-Sokolov reduction in quantum algebras
Dimitri Gurevich, Pavel Saponov, Dmitry Talalaev
TL;DR
This paper develops a quantum version of the Drinfeld-Sokolov reduction within Reflection Equation algebras and braided Yangians, utilizing Cayley-Hamilton identities for generating matrices, advancing the understanding of quantum algebra structures.
Contribution
It introduces a novel quantum reduction method for Reflection Equation algebras and braided Yangians based on Cayley-Hamilton identities, extending classical reduction techniques to quantum settings.
Findings
Quantum Drinfeld-Sokolov reduction formulated for Reflection Equation algebras
Reduction based on Cayley-Hamilton identities for generating matrices
Extension to algebras associated with involutive and Hecke symmetries
Abstract
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Topics in Algebra · Advanced Algebra and Logic · Algebraic structures and combinatorial models