The cyclic representations of the quantum superalgebra \(U_ q\)osp(2,1) with \(q\) a root of unity

DOI10.1007/BF01811290zbMath0736.17016OpenAlexW2113661699MaRDI QIDQ1182282

Chang-pu Sun, Hong-Chen Fu, Mo-Lin Ge

Publication date: 28 June 1992

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

Full work available at URL: https://doi.org/10.1007/bf01811290

zbMATH Keywords

cyclic representationsquantum superalgebra

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Superalgebras (17A70)

Related Items (4)

The q-boson realization of parametrized cyclic representations of quantum algebras at q p = 1 ⋮ Maintaining proximity in higher dimensional spaces ⋮ Construction of cyclic representations of quantum algebras at \(q^ p=1\) from their regular representations ⋮ Exotic quantum double, its universal R matrix, and their representations

Uses Software

• GeM

Cites Work

• Unnamed Item
• Irreducible representations of the quantum analogue of SU(2)
• Universal R-matrix of the quantum superalgebra osp(2\(| 1)\)
• 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
• On q-analogues of the quantum harmonic oscillator and the quantum group SU(2)_q
• Structure of regular representation of quantum universal enveloping algebra SL_q(2) with q^p=1*
• The q-deformed boson realisation of the quantum group SU(n)_qand its representations
• The quantum group SU_q(2) and a q-analogue of the boson operators
• Boson realization of non-generic sl_q(2)-R matrices for the Yang-Baxter equation
• The cyclic boson operators and new representations of the quantum algebra sl_q(2) for q a root of unity

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