Cyclic representations of \(U_ q({\mathfrak sl}(n +1,\mathbb{C}))\) at \(q^ N=1\)

DOI10.2977/prims/1195169842zbMath0752.17011OpenAlexW1260924517MaRDI QIDQ1176255

Michio Jimbo, Etsuro Date, Tetsuji Miwa, Kei Miki

Publication date: 25 June 1992

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195169842

zbMATH Keywords

quantum groupexplicit finite dimensional representations

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37)

Related Items

Roots of unity: Representations of quantum groups, Irreducible modules of finite dimensional quantum algebras of type A at roots of unity, Inductive construction of nilpotent modules of quantum groups at roots of unity, Duality and symmetry in chiral Potts model, The transfer matrix of a superintegrable chiral Potts model as theQoperator of root-of-unity XXZ chain with cyclic representation of U_{\mathsf {q}}(sl_2), Heisenberg realization for \(U_ q(\text{sl}_ n)\) on the flag manifold, Cyclic representations of the quantum matrix algebras, Free boson representation of \(U_ q(\widehat {sl}_ 3)\)

Cites Work

• A Poincaré-Birkhoff-Witt theorem for quantized universal enveloping algebras of type \(A_ N\)
• Cyclic \(L\)-operator related with a 3-state \(R\)-matrix
• Chiral Potts model as a descendant of the six-vertex model
• Finite Dimensional Hopf Algebras Arising From Quantized Universal Enveloping Algebras
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