Cheng Xiang-guo
Abstract
Let V be a 3-dimensional indefinite space, W the infinite Weyl group of an irreducible root system. In the present paper we will classify all crystallographic groups associated with W up to conjugation in the affine group A(.V) .
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Let V be a 3-dimensional indefinite space, W the infinite Weyl group of an irreducible root system. In the present paper we will classify all crystallographic groups associated with W up to conjugation in the affine group A(.V) .
Key concepts: Mathematics, Affine transformation, Space (punctuation), Group (periodic table), Space group, Pure mathematics, Affine space, Combinatorics