[{"issue":"2","uri_base":"https://pub.uni-bielefeld.de","creator":{"login":"riedel","id":"67994"},"message":"NEWISI20100429 NEW ISI record:\r\nDepartments: UNIV BIELEFELD,FAK MATH,W-4800 BIELEFELD 1,GERMANY.\r\nISI Id: ISI:A1991GT45300004 / cleanup departments: SFB701 & SFB1283, 2019-03-27","date_created":"2010-04-29T13:30:39Z","user_id":"67994","dc":{"subject":["WEIL-GROUP VALUED DISTANCE FUNCTION","JORDAN-HOLDER PERMUTATION","SEMIMODULAR LATTICE","SCHUBERT SYMBOL","CHAMBER SYSTEM"],"source":["Abels H. The geometry of the chamber system of a semimodular lattice. *Order. A Journal on the Theory of Ordered Sets and its Applications*. 1991;8(2):143-158."],"rights":["info:eu-repo/semantics/closedAccess"],"title":["The geometry of the chamber system of a semimodular lattice"],"creator":["Abels, Herbert"],"date":["1991"],"relation":["info:eu-repo/semantics/altIdentifier/doi/10.1007/BF00383400","info:eu-repo/semantics/altIdentifier/issn/0167-8094","info:eu-repo/semantics/altIdentifier/wos/A1991GT45300004"],"publisher":["KLUWER ACADEMIC PUBL"],"type":["info:eu-repo/semantics/article","doc-type:article","text"],"identifier":["https://pub.uni-bielefeld.de/record/1648931"],"language":["eng"],"description":["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."]},"status":"public","publication_status":"published","abstract":[{"lang":"eng"}],"keyword":[],"intvolume":" 8","dini_type":"doc-type:article","volume":8,"citation":{"dgps":"Abels, H. (1991). The geometry of the chamber system of a semimodular lattice. *Order. A Journal on the Theory of Ordered Sets and its Applications*, *8*(2), 143-158. KLUWER ACADEMIC PUBL. doi:10.1007/BF00383400.

","mla":"Abels, Herbert. “The geometry of the chamber system of a semimodular lattice”. *Order. A Journal on the Theory of Ordered Sets and its Applications* 8.2 (1991): 143-158.","default":"Abels H (1991)

*Order. A Journal on the Theory of Ordered Sets and its Applications* 8(2): 143-158.","chicago":"Abels, Herbert. 1991. “The geometry of the chamber system of a semimodular lattice”. *Order. A Journal on the Theory of Ordered Sets and its Applications* 8 (2): 143-158.

","ieee":" H. Abels, “The geometry of the chamber system of a semimodular lattice”, *Order. A Journal on the Theory of Ordered Sets and its Applications*, vol. 8, 1991, pp. 143-158.","apa_indent":"Abels, H. (1991). The geometry of the chamber system of a semimodular lattice. *Order. A Journal on the Theory of Ordered Sets and its Applications*, *8*(2), 143-158. doi:10.1007/BF00383400

","bio1":"Abels H (1991)

The geometry of the chamber system of a semimodular lattice.

Order. A Journal on the Theory of Ordered Sets and its Applications 8(2): 143-158.","lncs":" Abels, H.: The geometry of the chamber system of a semimodular lattice. Order. A Journal on the Theory of Ordered Sets and its Applications. 8, 143-158 (1991).","frontiers":"Abels, H. (1991). The geometry of the chamber system of a semimodular lattice. *Order. A Journal on the Theory of Ordered Sets and its Applications* 8, 143-158.","harvard1":"Abels, H., 1991. The geometry of the chamber system of a semimodular lattice. *Order. A Journal on the Theory of Ordered Sets and its Applications*, 8(2), p 143-158.","wels":"Abels, H. (1991): The geometry of the chamber system of a semimodular lattice *Order. A Journal on the Theory of Ordered Sets and its Applications*,8:(2): 143-158.","angewandte-chemie":"H. Abels, “The geometry of the chamber system of a semimodular lattice”, *Order. A Journal on the Theory of Ordered Sets and its Applications*, **1991**, *8*, 143-158.","apa":"Abels, H. (1991). The geometry of the chamber system of a semimodular lattice. *Order. A Journal on the Theory of Ordered Sets and its Applications*, *8*(2), 143-158. doi:10.1007/BF00383400"},"article_type":"original","publication":"Order. A Journal on the Theory of Ordered Sets and its Applications","department":[{"tree":[{"_id":"10020"}],"_id":"10020"}],"publication_identifier":{"issn":[]},"quality_controlled":"1","language":[{}],"author":[{"first_name":"Herbert","id":"10478","last_name":"Abels"}],"external_id":{"isi":[]},"page":"143-158","date_updated":"2019-05-03T14:18:14Z","_id":"1648931","_version":9,"type":"journal_article","isi":1}]