On Gauss decomposition of quantum groups and Jimbo homomorphism

1998/01/08 by M. A. Sokolov, Sokolov, M. A.
Mathematics · #Advanced Topics in Algebra #FOS: Mathematics #Quantum Algebra (math.QA) #math.QA

paper · pdf · doi:10.48550/arxiv.math/9801035

8 pages, LaTeX, no figures

arxiv created 1998/01/08 · openalex publication_date 1998/01/08 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

It is shown that the properties of the Gauss decomposition of quantum groups and the known Jimbo homomorphism permit us to realize these groups as subalgebras of well defined algebras constructed from generators of the corresponding undeformed Lie algebras.

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