Center of quantum algebra $U_q^{\prime }({\rm so}_3)$Uq′( so 3)

DOI10.1063/1.3579992zbMath1316.81057OpenAlexW1615851489MaRDI QIDQ5263594

Miloslav Havlíček, Severin Pošta

Publication date: 17 July 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.3579992

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) Center, normalizer (invariant elements) (associative rings and algebras) (16U70)

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Cites Work

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• Macdonald's symmetric polynomials as zonal spherical functions on some quantum homogeneous spaces
• The centre of quantum \(\mathfrak {sl}_n\) at a root of unity
• A quantum duality principle for coisotropic subgroups and Poisson quotients
• On the classification of irreducible finite-dimensional representations of Uq′(so3) algebra
• SYMMETRIES AND INVARIANTS OF TWISTED QUANTUM ALGEBRAS AND ASSOCIATED POISSON ALGEBRAS
• Representations of the cyclically symmetric q-deformed algebra soq(3)
• Introduction to quantum groups
• Central elements of the algebras \(U'_q(\text{so}_m)\) and \(U_q(\text{iso}_m)\)

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