Operator representations of \(\mathcal{U}_ q(sl_ 2(\mathbb{R}))\)

DOI10.1007/BF00416024zbMath0862.17012OpenAlexW24569106MaRDI QIDQ1915211

Konrad Schmüdgen

Publication date: 16 July 1996

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

Full work available at URL: https://doi.org/10.1007/bf00416024

zbMATH Keywords

self-adjoint operatorquantum planeoperator representationsquantized universal enveloping algebranon-self-adjoint operatorscompact quantum groupintegrable representationsHopf \(*\)-algebranon-compact quantum group

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Representations of topological algebras with involution (46K10) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89)

Related Items

Self-dual continuous series of representations for \(\mathcal U_q(sl(2))\) and \(\mathcal U_q(osp(1|2))\), Positive representations with zero Casimirs, On the continuous series for \(\widehat{sl(2,\mathbb R)}\), Commutativity up to a factor: more results and the unbounded case, UNITARY REPRESENTATIONS OF NONCOMPACT QUANTUM GROUPS AT ROOTS OF UNITY, Discrete series of representations for the modular double of the quantum group \(U_q (sl(2, \mathbb R))\), A family of new Borel subalgebras of quantum groups, RECENT PROGRESS IN LIOUVILLE FIELD THEORY (REVIEW), A class of Hilbert space representations of the quantum plane and the quantum algebra \(U_q(\text{sl}_2)\), Representations of the \(q\)-deformed Lie algebra of the group of motions of the Euclidean plane

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