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Title of Journal: Commun Math Phys

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Abbravation: Communications in Mathematical Physics

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Springer-Verlag

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10.1007/bf02075135

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1432-0916

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Exponential Equations Related to the Quantum ‘Emp

Authors: Małgorzata Rowicka
Publish Date: 2003/12/16
Volume: 244, Issue: 3, Pages: 419-453
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Abstract

We study pairs bβ of unbounded selfadjoint operators satisfying commutation rules inspired by the quantum ‘ax+b’ group 19 bβ=−βb and β2=id except for kerb on which β2=0 We find all measurable unitaryoperator valued functions F satisfying the exponential equation Fb βFd δ=Fb β d δ where d δ satisfy the same commutation rules as b β and is modeled after the comultiplication of the quantum ‘ax+b’ group This result is crucial for classification of all unitary representations of the quantum ‘ax+b’ group which is achieved in our forthcoming paper 12

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  2. Hausdorff Dimension of Julia Sets of Feigenbaum Polynomials with High Criticality
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  13. Nonlinear Asymptotic Stability of the Lane-Emden Solutions for the Viscous Gaseous Star Problem with Degenerate Density Dependent Viscosities
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  16. Phase Boundaries in Algebraic Conformal QFT
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  19. Continuity of the Lyapunov Exponents for Quasiperiodic Cocycles
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