General unitary quantum groups and generalized Fermion algebras

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dc.contributorPh.D. Program in Physics.
dc.contributor.advisorArık, Metin.
dc.contributor.authorAltıntaş, Azmi Ali.
dc.date.accessioned2023-03-16T10:46:01Z
dc.date.available2023-03-16T10:46:01Z
dc.date.issued2009.
dc.description.abstractSince the middle of the twentieth century, physicists have concentrated on finding quantum counterparts of classical systems. When a classical system is quantized its invariance group may still be a classical group. In the nineteen-eighties it was shown that when some classical systems are quantized, their classical group becomes a quantum group so that the system is invariant under a quantum group. So quantum groups play an important role in carrying physical properties to the quantum world. In this thesis, after presenting structure of Hopf algebra as a quantum group, structure of matrix quantum groups are investigated using inhomogeneous quantum groups, fermionic inhomogeneous orthogonal quantum invariance groups FIO, and bosonic inhomogeneous symplectic quantum invariance groups BISp. Then using invariance quantum groups of orthofermion algebra a general structure for unitary quantum groups are constructed in chapter three. Commuting fermion algebra is defined using the Heisenberg spin algebra and its inhomogeneous quantum group is defined in chapter four. Chapter three and chapter four of the thesis is based on original research.
dc.format.extent30cm.
dc.format.pagesviii, 44 leaves;
dc.identifier.otherPHYS 2009 A48 PhD
dc.identifier.urihttps://digitalarchive.library.bogazici.edu.tr/handle/123456789/13757
dc.publisherThesis (Ph.D.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2009.
dc.subject.lcshFermions.
dc.subject.lcshHopf algebras.
dc.subject.lcshQuantum groups.
dc.titleGeneral unitary quantum groups and generalized Fermion algebras

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