Two-Parameter Quantum Groups and -Matrices: Classical Types

• Опубліковано в: : Symmetry, Integrability and Geometry: Methods and Applications
• Дата: 2025
• Автори: Martin, Ian, Tsymbaliuk, Alexander
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Інститут математики НАН України 2025
• Онлайн доступ: https://nasplib.isofts.kiev.ua/handle/123456789/214100
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: Two-Parameter Quantum Groups and -Matrices: Classical Types. Ian Martin and Alexander Tsymbaliuk. SIGMA 21 (2025), 064, 54 pages

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...