Hecke symmetries associated with the polynomial algebra in 3 commuting indeterminates

DOI10.1016/j.jalgebra.2023.04.004arXiv2210.03491OpenAlexW4362660565MaRDI QIDQ6155803

Serge Skryabin

Publication date: 7 June 2023

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2210.03491

zbMATH Keywords

Hecke symmetriesquantum \(\mathrm{GL}(3)\) groups

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) Hopf algebras and their applications (16T05)

Cites Work

• Graded algebras of global dimension 3
• Quantum \(\text{SL}(3,\mathbb{C})\)'s with classical representation theory
• Boundary solutions of the quantum Yang-Baxter equation and solutions in three dimensions
• Constant solutions of Yang-Baxter equation for $\mathfrak{sl}(2)$ and $\mathfrak{sl}(3)$.
• The upper triangular solutions to the three-state constant quantum Yang-Baxter equation
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