GROBNER-SHIRSHOV BASES OF SOME WEYL GROUPS

dc.contributor.authorKarpuz, Eylem Guzel
dc.contributor.authorAtes, Firat
dc.contributor.authorCevik, A. Sinan
dc.date.accessioned2020-03-26T19:06:03Z
dc.date.available2020-03-26T19:06:03Z
dc.date.issued2015
dc.departmentSelçuk Üniversitesien_US
dc.description.abstractIn this paper, we obtain Crobner-Shirshov (non-commutative) bases for the n-extended affine Weyl group (W) over tilde of type A(1), elliptic Weyl groups of types A(1)((1,1)) A(1)((1,1))* and the 2-extended affine Weyl group of type A(2)((1,1)) with a generator system of a 2-toroidal sense. It gives a new algorithm for getting normal forms of elements of these groups and hence a new algorithm for solving the word problem in these groups.en_US
dc.identifier.doi10.1216/RMJ-2015-45-4-1165en_US
dc.identifier.endpage1175en_US
dc.identifier.issn0035-7596en_US
dc.identifier.issn1945-3795en_US
dc.identifier.issue4en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage1165en_US
dc.identifier.urihttps://dx.doi.org/10.1216/RMJ-2015-45-4-1165
dc.identifier.urihttps://hdl.handle.net/20.500.12395/32197
dc.identifier.volume45en_US
dc.identifier.wosWOS:000365160600008en_US
dc.identifier.wosqualityQ4en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherROCKY MT MATH CONSORTIUMen_US
dc.relation.ispartofROCKY MOUNTAIN JOURNAL OF MATHEMATICSen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.selcuk20240510_oaigen_US
dc.subjectGrobner-Shirshov basisen_US
dc.subjectpresentationen_US
dc.subjectWeyl groupen_US
dc.titleGROBNER-SHIRSHOV BASES OF SOME WEYL GROUPSen_US
dc.typeArticleen_US

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