Lattice and order properties of the poset of regions in a hyperplane arrangement
نویسندگان
چکیده
منابع مشابه
Lattice and Order Properties of the Poset of Regions in a Hyperplane Arrangement
We show that the poset of regions (with respect to a canonical base region) of a supersolvable hyperplane arrangement is a congruence normal lattice. Specifically, the poset of regions of a supersolvable arrangement of rank k is obtained via a sequence of doublings from the poset of regions of a supersolvable arrangement of rank k − 1. An explicit description of the doublings leads to a proof t...
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ژورنال
عنوان ژورنال: Algebra Universalis
سال: 2003
ISSN: 0002-5240,1420-8911
DOI: 10.1007/s00012-003-1834-0