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Operator representations of \(\mathbb{R}_ q^ 2\)

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Publication:1328899
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DOI10.2977/prims/1195167736zbMath0804.47049OpenAlexW2254941755MaRDI QIDQ1328899

Konrad Schmüdgen

Publication date: 8 August 1994

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195167736

zbMATH Keywords

self-adjoint operatorsoperator relationalgebra with unit which is generated by two Hermitean elements


Mathematics Subject Classification ID

Representations of topological algebras with involution (46K10) Algebras of unbounded operators; partial algebras of operators (47L60) Deformations of general structures on manifolds (58H15)


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Finite dimensional quantum Teichmüller space from the quantum torus at root of unity, Three-dimensional quantum gravity from the quantum pseudo-Kähler plane, 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, Cluster realization of positive representations of a split real quantum Borel subalgebra



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