The Buckyball Spectrum
We use representation theory to calculate the $π$-electron energy levels of Buckminsterfullerene and other symmetrical conjugated systems according to the Hückel approximation.
math.RT↗
arXiv subjects
George Henderson-Walshe
Publications and source records attributed to George Henderson-Walshe.
$K_2$-regularity is equivalent to smoothness for toric varieties
Recent work by Wanchun Shen shows that $K_2$-regular affine local complete intersections of any dimension in characteristic zero are smooth. In this note, we show that the same holds for affine toric varieties.
math.AG↗
Algebraic Enumeration of Polypolyhedra
Polypolyhedra are edge-transitive compounds of polyhedra. In this paper we use group theory to determine the number of distinct polypolyhedra whose symmetry group is any given finite irreducible Coxeter group. We apply this result in order to enumerate the 3-dimensional polypolyhedra.
math.CO↗