Flat periodic representations of \({\mathcal U}_ q({\mathcal G})\)

DOI10.1007/BF02101882zbMath0751.17007MaRDI QIDQ1180239

Amithaba Chakrabarti, Daniel Arnaudon

Publication date: 27 June 1992

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

zbMATH Keywords

Kac-Moody algebraquantized universal enveloping algebraflat periodic 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 (5)

Roots of unity: Representations of quantum groups ⋮ On the universal \(R\)-matrix of \(U_ q\widehat{sl}_ 2\) at roots of unity ⋮ Irregular Uq (sl(3)) representations at roots of unity via Gel’fand–(Weyl)–Zetlin basis ⋮ Normalized Uq(sl(3)) Gel’fand–(Weyl)–Zetlin basis and new summation formulas for q-hypergeometric functions ⋮ Representations of quantum \(so(8)\) and related quantum algebras

Cites Work

• Unnamed Item
• Some algebraic structures connected with the Yang-Baxter equation. Representations of quantum algebras
• Infinite dimensional Lie algebras. An introduction
• 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
• Periodic and partially periodic representations of \(\text{SU}(N)_ q\)
• \(R\)-matrix for cyclic representations of \(U_ q(\widehat{{\mathfrak sl}}(3,{\mathbb{C}}))\) at \(q^ 3=1\)
• Periodic and flat irreducible representations of \(SU(3)_ q\)
• Chiral Potts model as a descendant of the six-vertex model

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