Boson realizations of quantum algebras and some physical spaces with quantum algebra symmetry

DOI10.1007/BF00777374zbMath0774.17014OpenAlexW1997970562MaRDI QIDQ1801355

Min Qian, Maozheng Guo, Xu-Feng Liu

Publication date: 3 November 1993

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

Full work available at URL: https://doi.org/10.1007/bf00777374

zbMATH Keywords

generatorsrepresentationsquantum algebra\(q\)-boson algebra\(q\)-Fock spacecoherent state space

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

• Irreducible representations of the quantum analogue of SU(2)
• Q-analogues of Clifford and Weyl algebras - spinor and oscillator representations of quantum enveloping algebras
• Twisted second quantization
• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• Quantum deformations of certain simple modules over enveloping algebras
• 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
• On the q oscillator and the quantum algebra su_q(1,1)
• 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-deformed boson realization of representation of quantum universal enveloping algebras for q a root of unity: II. The subalgebra chain of U_q(C_l)

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