Sentence examples for be a crystallographic representation from inspiring English sources

Let be a crystallographic representation of in.

Let be a crystallographic representation of the icosahedral group.

As a consequence we have the following: Proposition 5.2   Let be a crystallographic representation of in.

Let be a crystallographic representation of in, and let be a one-dimensional representation of.

Lemma 5.1   Let be a crystallographic representation of in and let be a subgroup of isomorphic to.

Therefore, the subgroup of is a crystallographic representation of.

□ As a consequence of these lemmata, contains all the subgroups of which are isomorphic to and are subgroups of a crystallographic representation of.

If such a representation is reducible and contains a two- or three-dimensional invariant subspace, then it is referred to as a crystallographic representation, following terminology given by Levitov & Rhyner (1988 ▶).

□ We next show that every element of is a subgroup of a crystallographic representation of.

A crystallographic representation ρ of G is a D-dimensional representation of G such that: (1) the characters of ρ are integers; (2) ρ is reducible and contains a two- or three-dimensional representation of G.

A crystallographic representation ρ of G is a D -dimensional representation of G such that: (1) the characters of ρ are integers; (2) ρ is reducible and contains a two- or three-dimensional representation of G. Let G be a noncrystallographic group.