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Abstraktni politopi, grupi in ciklične konfiguracije / Abstract polytopes, groups and cyclic configurations

Naziv

Tittle

Abstraktni politopi, grupi in ciklične konfiguracije / Abstract polytopes, groups and cyclic configurations

Akronim

Acronim

BI-US/16-17-057

Opis

Description

(SI) Osrednja tema projekta je raziskovanje relacij med diskretnimi geometričnimi objekti z visoko stopnjo simetrij in grupami, ki opisujejo te objekte. Prvo raziskovalno področje projekta bo preiskava abstraktnih politopov. Po definiciji je abstrakten politop poset (delna urejena množica) končnega ranka, katere lastnosti oponašajo lastnosti mrežje lic konveknih politopov. 
(EN) The project focuses on exploring the relationships between discrete geometric objects with a high degree of symmetries and the groups that describe these objects. The first research area of the project will be the investigation of abstract polytopes. By definition, an abstract polytope is a poset (a partially ordered set) of finite rank whose properties mimic those of the lattice of faces of convolution polytopes.

Trajanje

Duration

01/01/2016 - 31/12/2017

Vodja projekta

Project Leader

Istvan Kovacs

Sodelujoče organizacije

Participating organizations

University of Alaska Fairbanks

Oddelek

Department

Oddelek za matematiko IAM
University of Primorska

Andrej Marušič Institute
UP IAM

Muzejski trg 2
6000 Koper
Slovenia

tel.: +386 (0)5 611 75 91
fax.: +386 (0)5 611 75 92
e-mail: info@iam.upr.si
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