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Q-pseudodifference Drinfeld-Sokolov reduction for algebra of complex size matrices

1999/05/14 by A. L. Pirozerskiĭ, A. L. Pirozerski, Pirozerski, A. L. +3
Mathematics · Physics and Astronomy · #17B65 #17B68 (Primary) 17B37 (Secondary) #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Quantum Algebra (math.QA) #math.QA #msc:17B37 #msc:17B65 #msc:17B68

paper · pdf · doi:10.48550/arxiv.math/9905093

35 pages, AMSLATEX

arxiv created 1999/05/14 · openalex publication_date 1999/05/14 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The q-deformed version of the Drinfeld-Sokolov reduction is extended to the case of the algebra of 'complex size matrices'; this construction generalizes earlier results of B.Khesin and F.Malikov on universal DS reduction and follows the pattern of recent studies of q-deformed DS reduction which were started by E.Frenkel, N.Reshetikhin and one of the authors.

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