127 citations · 375 across the 44 of their papers we have counts for
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math-ph2012★ 8 cited
Affine Wa(A4), Quaternions, and Decagonal Quasicrystals
Mehmet Koca, Nazife O. Koca, Ramazan Koc
We introduce a technique of projection onto the Coxeter plane of an arbitrary higher dimensional lattice described by the affine Coxeter group. The Coxeter plane is determined by t…
math-ph2012★ 2 cited
Radii of the E8 Gosset Circles as the Mass Excitations in the Ising Model
Mehmet Koca, Nazife Ozdes Koca
The Zamolodchikov's conjecture implying the exceptional Lie group E8 seems to be validated by an experiment on the quantum phase transitions of the 1D Ising model carried out by th…
math-ph2012★ 1 cited
Quaterionic Construction of the W(F_4) Polytopes with Their Dual Polytopes and Branching under the Subgroups B(B_4) and W(B_3)*W(A_1)
Mehmet Koca, Mudhahir Al-Ajmi, Nazife Koca
4-dimensional polytopes and their dual polytopes have been constructed as the orbits of the Coxeter-Weyl group where the group elements and the vertices of the…