---
res:
bibo_abstract:
- In this paper geometric properties of the following metric space C are studied. Its
elements are called chambers and are the maximal chains of a semimodular lattice
X of finite height and its metric d is the gallery distance. We show that X has
many properties in common with buildings. More specifically, Tits [17] has recently
described buildings in terms of "Weyl-group valued distance functions". We consider
the Jordan-Holder permutation pi(C, D) corresponding to a pair C, D of chambers
and show that it has most properties of such a distance with values in the symmetric
group.@eng
bibo_authorlist:
- foaf_Person:
foaf_givenName: Herbert
foaf_name: Abels, Herbert
foaf_surname: Abels
foaf_workInfoHomepage: http://www.librecat.org/personId=10478
bibo_doi: 10.1007/BF00383400
bibo_issue: '2'
bibo_volume: 8
dct_date: 1991^xs_gYear
dct_identifier:
- UT:A1991GT45300004
dct_isPartOf:
- http://id.crossref.org/issn/0167-8094
dct_language: eng
dct_publisher: KLUWER ACADEMIC PUBL@
dct_subject:
- WEIL-GROUP VALUED DISTANCE FUNCTION
- JORDAN-HOLDER PERMUTATION
- SEMIMODULAR LATTICE
- SCHUBERT SYMBOL
- CHAMBER SYSTEM
dct_title: The geometry of the chamber system of a semimodular lattice@
...