THE q-BOSON REALIZATIONS OF THE QUANTUM GROUP Uq(Cn)

DOI10.1142/S0217751X99002104zbMath0960.81041OpenAlexW2072732482MaRDI QIDQ4949058

Čestmír Burdík, Ondřej Navrátil

Publication date: 27 April 2000

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0217751x99002104

zbMATH Keywords

quantum groupsquantum enveloping algebrasexplicit realization

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

• A \(q\)-analogue of \(U(\mathfrak{gl}(N+1))\), Hecke algebra, and the Yang-Baxter equation
• On q-analogues of the quantum harmonic oscillator and the quantum group SU(2)_q
• The quantum group SU_q(2) and a q-analogue of the boson operators
• Realisations of the real semisimple Lie algebras: a method of construction
• The q-boson realization of parametrized cyclic representations of quantum algebras at q p = 1
• The q-boson realizations of the quantum group U_q(sl(n+1, C))
• Theq-boson realizations of the quantum groupsU_q(D_n)