Quantum Heisenberg group and algebra: Contraction, left and right regular representations

DOI10.1063/1.531129zbMath0829.17009arXivhep-th/9406114OpenAlexW2046148114WikidataQ59672988 ScholiaQ59672988MaRDI QIDQ4836826

Demosthenes Elllinas, Jan T. Sobczyk

Publication date: 29 January 1996

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

Full work available at URL: https://arxiv.org/abs/hep-th/9406114

zbMATH Keywords

contractionquantum groupregular representationsquantum Heisenberg group

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)

Related Items (2)

On the homomorphisms of the Lie groups \(\mathrm{SU}(2)\) and \(S^3\) ⋮ Induced representations of quantum (1+1) Galilei algebras

Cites Work

• Canonical construction of differential operators intertwining representations of real semisimple Lie groups
• Unitary representations of the quantum group \(\text{SU}_q(1,1)\): structure of the dual space of \({\mathcal U}_q(\mathfrak{sl}(2))\)
• Twisted \(\text{SU}(2)\) group. An example of a non-commutative differential calculus
• Quantum Lie superalgebras and q-oscillators
• Algebra of functions on the quantum group SU(2)
• 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 quantum Heisenberg group H(1)q
• Path integrals for quantum algebras and the classical limit
• q-difference intertwining operators for a Lorentz quantum algebra
• q-difference intertwining operators for U_q(sl(n)): general setting and the case n=3
• Three-dimensional quantum groups from contractions of SU(2)q

This page was built for publication: Quantum Heisenberg group and algebra: Contraction, left and right regular representations