Graduate Program in Physics.Arık, Metin.Yıldız, Süleyman Cenk.2023-03-162023-03-162008.PHYS 2008 Y55https://digitalarchive.library.bogazici.edu.tr/handle/123456789/13682The 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/Z2.30cm.Hopf algebras.Matrices.Fermions.ix, 60 leaves;