Left regular representation and contraction of \(\text{sl}_ q(2)\) to \(e_ q(2)\)

DOI10.1007/BF00750667zbMath0814.17011WikidataQ59672991 ScholiaQ59672991MaRDI QIDQ1338942

Jan T. Sobczyk, Ludwik Dąbrowski

Publication date: 18 June 1995

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

zbMATH Keywords

contractionintertwining operatorsleft regular representationconstruction of differential operatorsquantum algebra \(e_ q(2)\)

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

Related Items (3)

Free \(q\)-Schrödinger equation from homogeneous spaces of the 2-dim Euclidean quantum group ⋮ Induced representations of quantum (1+1) Galilei algebras ⋮ Dirac operators on quantum projective spaces

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 \({\mathcal U}_q(\mathfrak{sl}(2))\)
• Quantum spheres
• Quantum \(E(2)\) group and its Pontryagin dual
• The two-dimensional quantum Euclidean algebra
• Quantum group gauge theory on quantum spaces
• Quantum line bundles on S2 and method of orbits for SUq(2)

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