Stereographic coordinates for unitary quantum groups

dc.contributor	Graduate Program in Physics.
dc.contributor.advisor	Arık, Metin.
dc.contributor.author	Arıkan, Ali Serdar.
dc.date.accessioned	2023-03-16T10:37:15Z
dc.date.available	2023-03-16T10:37:15Z
dc.date.issued	1998.
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.format.pages	viii, 41 leaves;
dc.identifier.other	PHYS 1998 Ar4
dc.identifier.uri	https://digitalarchive.library.bogazici.edu.tr/handle/123456789/13612
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

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