Construction of cyclic representations of quantum algebras at \(q^ p=1\) from their regular representations

DOI10.1007/BF00398400zbMath0759.17006OpenAlexW1993576068MaRDI QIDQ1201372

Hong-Chen Fu, Mo-Lin Ge

Publication date: 17 January 1993

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

Full work available at URL: https://doi.org/10.1007/bf00398400

zbMATH Keywords

regular representationquantum algebracyclic representation

Mathematics Subject Classification ID

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

Uses Software

• GeM

Cites Work

• Unnamed Item
• Irreducible representations of the quantum analogue of SU(2)
• The universal R-matrix for \(U_ qsl(3)\) and beyond!
• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• Finite dimensional representations of the quantum analog of the enveloping algebra of a complex simple Lie algebra
• The cyclic representations of the quantum superalgebra \(U_ q\)osp(2,1) with \(q\) a root of unity
• Structure of regular representation of quantum universal enveloping algebra SL_q(2) with q^p=1*
• The q-boson realization of parametrized cyclic representations of quantum algebras at q p = 1
• Cyclic boson algebra and q-boson realizations of cyclic representations of the quantum algebra sl_q(3)

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