Browsing by Subject "Quantum groups."

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  • Gauge theories based on quantum groups, representations of the braid group 
    Yıldız, Ali. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 1993., 1993.)
    Possible formulations of gauge field models where the gauge group is a quantum group are discussed. The exponential map from the generators of the Lie algebra analog of the quantum group SUq(2) to the quantum group SUq(2) ...
  • General unitary quantum groups and generalized Fermion algebras 
    Altıntaş, Azmi Ali. (Thesis (Ph.D.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2009., 2009.)
    Since 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 ...
  • Multiparameter generalization of deformed particle algebras 
    Arıkan, Ali Serdar. (Thesis (Ph.D.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2004., 2004.)
    In this study, we generalize deformed boson and fermion algebras by considering as many deformation parameters as possible. The restriction on the number of deformation parameters emerges from the relations leaving the ...
  • Noncommutative phase and the unitarization of the quantum group GL(2) 
    Kaynak, Burak Tevfik. (Thesis (M.S.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2003., 2003.)
    In this thesis, a new *-operation (or unitarized form) is defined for the two-parameter quantum group GLp,q(2) in the case that pq is real, and the new group is denoted by Up,q(2). The most interesting aspect of our ...
  • Quantum group structures associated with invariances of some physical algebras 
    Kayserilioğlu, Ufuk. (Thesis (Ph.D.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2005., 2005.)
    In this study, the anticommuting spin algebra is introduced and it is shownto be invariant under the action of the quantum group SOq=-1(3). Furthermore, itsrepresentations and Hopf algebra structure are studied and found ...
  • Unitary group and quantum group invariant q-oscillators and fibonaccization 
    Ünel, N. Gökhan. (Thesis (M.S.)- Bogazici University. Institute for Graduate Studies in Science and Engineering, 1994., 1994.)
    After a review of different types of q-oscillators and the relationship between their creation/ annihilation operators, the derivation of the q generalized version of the LeviCivita tensor (E) is given. The properties of ...

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