Periodic and flat irreducible representations of \(SU(3)_ q\)

DOI10.1007/BF02098445zbMath0718.17015OpenAlexW1990072857MaRDI QIDQ2639154

Daniel Arnaudon

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1007/bf02098445

zbMATH Keywords

weightsquantum groupmultiplicitiesflat representationsPeriodic irreducible representations

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)

Related Items (8)

Representations of quantum SU(3) ⋮ SO(5)q and contraction: Chevalley basis representations for q-generic and root of unity ⋮ Irregular Uq (sl(3)) representations at roots of unity via Gel’fand–(Weyl)–Zetlin basis ⋮ Periodic and partially periodic representations of \(\text{SU}(N)_ q\) ⋮ Flat periodic representations of \({\mathcal U}_ q({\mathcal G})\) ⋮ Finite dimensional irreducible representations of the quantum supergroup Uq (gl(m/n)) ⋮ Representations of quantum \(so(8)\) and related quantum algebras ⋮ Roots of unity: Representations for symplectic and orthogonal quantum groups

Cites Work

• Irreducible representations of the quantum analogue of SU(2)
• Finite dimensional representations of the quantum analog of the enveloping algebra of a complex simple Lie algebra
• On \(sl(3)\) reduction, quantum gauge transformations, and \(W\)-algebra singular vectors
• Chiral Potts model as a descendant of the six-vertex model

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