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Stereographic coordinates for unitary quantum groups

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dc.contributor Graduate Program in Physics.
dc.contributor.advisor Arık, Metin. Arıkan, Ali Serdar. 2023-03-16T10:37:15Z 2023-03-16T10:37:15Z 1998.
dc.identifier.other PHYS 1998 Ar4
dc.description.abstract In this thesis, unitary matrix representation of quantum group SUq(2) is studied in terms of stereographic coordinates z, z* and its central unitary phase u. It is observed that this parametrization of SUq(2) can be regarded as q-1-oscillator representation of SUq(2) where q-1>1. The fractional linear transformation of z and z* which gives the action of SUq(2) on the quantum sphere SUq(2)/U(1) is studied. Then we extend this action to SUq(2) and derive the transformation law of u. In the final part of this work, transformation laws for dz and are also studied.
dc.format.extent 30 cm.
dc.publisher Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 1998.
dc.relation Includes appendices.
dc.relation Includes appendices.
dc.subject.lcsh Unitary groups.
dc.subject.lcsh Quantum theory.
dc.title Stereographic coordinates for unitary quantum groups
dc.format.pages viii, 41 leaves;

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