scientific article; zbMATH DE number 1045398

zbMath0877.47029MaRDI QIDQ4347158

Sergei D. Silvestrov

Publication date: 7 August 1997

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zbMATH Keywords

Möbius transformationsdynamical systemsunbounded operatorunitary operatornormal operatordirect integralsirreducible \(*\)-representationscommutation relations defining three-dimensional generalized Lie algebrascommutation relations of continued fraction typegeneralised skew-symmetric algebragraded analogue of the Lie algebra \(sl(2,\mathbb{C})\)graded analogue of the Lie algebra of the group of plane motionsrepresentations of commutation relations by linear operators in a Hilbert space

Mathematics Subject Classification ID

Algebras of unbounded operators; partial algebras of operators (47L60) Abstract operator algebras on Hilbert spaces (47L30) ``Super (or ``skew) structure (16W55) Quadratic algebras (but not quadratic Jordan algebras) (17A45)

Related Items (2)

Representations of polynomial covariance type commutation relations by linear integral operators on \(L_p\) over measure spaces ⋮ Linear integral operators on \(L_p\) spaces representing polynomial covariance type commutation relations

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