Two-Parameter Quantum Groups and -Matrices: Classical Types

We construct finite -matrices for the first fundamental representation of two-parameter quantum groups ᵣ,ₛ() for classical , both through the decomposition of ⊗ into irreducibles ᵣ,ₛ()-submodules as well as by evaluating the universal R-matrix. The latter is crucially based on the construction of...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2025
Main Authors: Martin, Ian, Tsymbaliuk, Alexander
Format: Article
Language:English
Published: Інститут математики НАН України 2025
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/214100
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Two-Parameter Quantum Groups and -Matrices: Classical Types. Ian Martin and Alexander Tsymbaliuk. SIGMA 21 (2025), 064, 54 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine