Representations of Uεres(sl2) via restricted q-Fock spaces

DOI10.1063/1.1389089zbMath1012.81026arXivmath/0008046OpenAlexW3104882626MaRDI QIDQ2774705

Chang-pu Sun, Xu-Feng Liu

Publication date: 26 February 2002

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

Full work available at URL: https://arxiv.org/abs/math/0008046

zbMATH Keywords

irreducible highest weight representationsboson algebra

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)

Cites Work

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• Quantum groups at roots of 1
• Quantum deformations of certain simple modules over enveloping algebras
• On q-analogues of the quantum harmonic oscillator and the quantum group SU(2)_q
• 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
• The q-deformed boson realization of representations of quantum universal enveloping algebras for q a root of unity. I The case of U_qSL(L)
• The q-analog of the boson algebra, its representation on the Fock space, and applications to the quantum group
• A new q-deformed boson realization of quantum algebra slq(n+1) and nongeneric slq(2) R-matrices
• The cyclic boson operators and new representations of the quantum algebra sl_q(2) for q a root of unity
• Cyclic boson algebra and q-boson realizations of cyclic representations of the quantum algebra sl_q(3)
• Finite-dimensional representations of quantum affine algebras at roots of unity

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