42 citations · 206 across the 36 of their papers we have counts for
12 papers · 1 filter
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}…
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…
Commutativity of missing label operators in terms of Berezin brackets
Luis J. Boya, R. Campoamor-Stursberg
We obtain a criterion on the commutativity of polynomials in the enveloping algebra of a Lie algebra in terms of an involution condition with respect to the Berezin bracket. As an…
Symmetric Spaces of Exceptional Groups
Luis J. Boya
We adress the problem of the reasons for the existence of 12 symmetric spaces with the exceptional Lie groups. The 1+2 cases for and respectively are easily explained f…
Special Holonomy Manifolds in Physics
Luis J. Boya
This is a pedagogical exposition of holonomy groups intended for physicists. After some pertinent definitions, we focus on special holonomy manifolds, two per division algebras, an…