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A generalization of some lattices of Coxeter
Author(s) -
Bergé Anne-Marie,
Martinet Jacques
Publication year - 2004
Publication title -
mathematika
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.955
H-Index - 29
eISSN - 2041-7942
pISSN - 0025-5793
DOI - 10.1112/s0025579300015503
Subject(s) - coxeter group , mathematics , generalization , coxeter complex , coxeter element , combinatorics , point group , longest element of a coxeter group , pure mathematics , artin group , mathematical analysis
This paper introduces a wide generalization of a family of integral lattices defined by Coxeter, which share with the Coxeter lattices the following properties: they are perfect, often with an odd minimum, and have no non‐trivial perfect sections with the same minimum.