\(R\)-matrix for the 8-dimensional spin representation of \(U_q (\mathfrak{so}_7)\)

DOI10.1007/s10114-023-1082-5OpenAlexW4386572179MaRDI QIDQ6155091

Hu, Naihong, Hongmei Hu

Publication date: 16 February 2024

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-023-1082-5

zbMATH Keywords

minimal polynomialspin modulebraiding \(R\)-matrix

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Yang-Baxter equations (16T25)

Cites Work

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• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• Quantum R matrix for the generalized Toda system
• Quantum groups and quantum shuffles
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• Majid conjecture: quantum Kac-Moody algebras version
• Double-bosonization and Majid's conjecture. IV: Type-crossings from \(A\) to \(BCD\)
• The braid group representations associated with some non-fundamental representations of Lie algebras
• Solutions to the Yang-Baxter equation for the spinor representations of q-B_l
• Double-bosonization and Majid’s conjecture, (I): Rank-inductions of ABCD
• Double-bosonization of braided groups and the construction of U_q(g)

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