Unitary matrix hopf algebras and theta deformed fermion algebra
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Date
2008.
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Thesis (M.S.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2008.
Abstract
The Hopf Algebras and their properties are reviewed. It is shown that unitary matrices with non-commutative elements can represent Hopf Algebras, and new matrix algebras were examined to see if they are Hopf Algebras. Fermion algebra is deformed with a central element c and properties and representations of this algebra are studied. Finally tensor product representation of this algebra isdefined and it is shown that this deformed fermion algebra describes the orbifold S1/Z2.