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A relation on minimal representatives and the path model

✍ Scribed by Rocco Chirivı̀

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
240 KB
Volume
258
Category
Article
ISSN
0021-8693

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✦ Synopsis

We study a relation defined in terms of the Bruhat order on minimal representatives modulo parabolic subgroups of a finite Coxeter group. This relation generalizes the set inclusion for standard rows on type A . As an application, we give a combinatorial description of Littelmann's swap map for minuscule path models.

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✍ Michael Gelfond; Halina Przymusinska; Teodor Przymusinski 📂 Article 📅 1990 🏛 John Wiley and Sons 🌐 English ⚖ 877 KB

The purpose of ithis article is to compare three types of nonmonotonic semantics: (a) proof-theoretic semantics based on the closed world assumption, (b) model-theoretic semantics based on the notion of a minimal model, and (c) model-theoretic semantics based on the notion of a minimal Herbrand mode