Lattices from group frames and vertex transitive graphs (Lenny Fukshansky, CMC)
Millikan 2099, Pomona College 610 N. College Ave., Claremont, CA, United StatesTight frames in Euclidean spaces are widely used convenient generalizations of orthonormal bases. A particularly nice class of such frames is generated as orbits under irreducible actions of finite groups of orthogonal matrices: these are called irreducible group frames. Integer spans of rational irreducible group frames form Euclidean lattices with some very nice geometric properties, […]