42 citations · 206 across the 36 of their papers we have counts for
37 papers
Relation of the cyclotomic equation with the harmonic and derived series
Luis J. Boya, Cristian Rivera
We associate some (old) convergent series related to definite integrals with the cyclotomic equation , for several natural numbers ; for example, for , $x^3-1 =…
Introduction to Sporadic Groups for physicists
Luis J. Boya
We describe the collection of finite simple groups, with a view on physical applications. We recall first the prime cyclic groups , and the alternating groups . Aft…
On regular polytopes
Luis J. Boya, Cristian Rivera
Regular polytopes, the generalization of the five Platonic solids in 3 space dimensions, exist in arbitrary dimension ; now in {\rm dim}. 2, 3 and 4 there are \emph{extra}…
On Hexagonal Structures in Higher Dimensional Theories
Adil Belhaj, Luis J. Boya, Antonio Segui
We analyze the geometrical background under which many Lie groups relevant to particle physics are endowed with a (possibly multiple) hexagonal structure. There are several groups…
On the Scales of Masses in Elementary Particles
Luis J. Boya, Cristian Rivera
We make an attempt to describe the spectrum of masses of elementary particles, as it comes out empirically in six distinct scales. We argue for some rather well defined mass scales…
Composition algebras and the two faces of
Luis J. Boya, R. Campoamor-Stursberg
We consider composition and division algebras over the real numbers: We note two rôles for the group : as automorphism group of the octonions and as the isotropy group of a…