{"?xml":{"@version":"1.0"},"edm:RDF":{"@xmlns:dc":"http://purl.org/dc/elements/1.1/","@xmlns:edm":"http://www.europeana.eu/schemas/edm/","@xmlns:wgs84_pos":"http://www.w3.org/2003/01/geo/wgs84_pos","@xmlns:foaf":"http://xmlns.com/foaf/0.1/","@xmlns:rdaGr2":"http://rdvocab.info/ElementsGr2","@xmlns:oai":"http://www.openarchives.org/OAI/2.0/","@xmlns:owl":"http://www.w3.org/2002/07/owl#","@xmlns:rdf":"http://www.w3.org/1999/02/22-rdf-syntax-ns#","@xmlns:ore":"http://www.openarchives.org/ore/terms/","@xmlns:skos":"http://www.w3.org/2004/02/skos/core#","@xmlns:dcterms":"http://purl.org/dc/terms/","edm:WebResource":[{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-0FV8QM4K/8aaefed4-6356-4921-8cab-e6986d0891c6/PDF","dcterms:extent":"588 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-0FV8QM4K/570be190-309e-42de-9453-76a6187bfa30/TEXT","dcterms:extent":"72 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-0FV8QM4K/321b2758-52a8-4df4-96d3-365bb4800a10/PDF","dcterms:extent":"149 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-0FV8QM4K/694c1cbe-36b9-4199-bd99-5fa523412f8f/TEXT","dcterms:extent":"3 KB"}],"edm:TimeSpan":{"@rdf:about":"2008-2026","edm:begin":{"@xml:lang":"en","#text":"2008"},"edm:end":{"@xml:lang":"en","#text":"2026"}},"edm:ProvidedCHO":{"@rdf:about":"URN:NBN:SI:doc-0FV8QM4K","dcterms:isPartOf":[{"@rdf:resource":"https://www.dlib.si/details/URN:NBN:SI:spr-UP1WMFAR"},{"@xml:lang":"sl","#text":"Ars mathematica contemporanea"}],"dcterms:issued":"2026","dc:creator":["Huang, Hau-Wen","Lee, Chin-Yen"],"dc:format":[{"@xml:lang":"sl","#text":"letnik:26"},{"@xml:lang":"sl","#text":"številka:4, article  p4.04"},{"@xml:lang":"sl","#text":"str. 1-33"}],"dc:identifier":["DOI:10.26493/1855-3974.3785.6c4","ISSN:1855-3974","COBISSID_HOST:294171651","URN:URN:NBN:SI:doc-0FV8QM4K"],"dc:language":"en","dc:publisher":{"@xml:lang":"sl","#text":"Univerza na Primorskem"},"dc:subject":[{"@xml:lang":"en","#text":"Leonard triples"},{"@xml:lang":"sl","#text":"Leonardove trojice"},{"@xml:lang":"sl","#text":"lihi grafi"},{"@xml:lang":"en","#text":"odd graphs"},{"@xml:lang":"sl","#text":"poševni grupni kolobarji"},{"@xml:lang":"en","#text":"skew group rings"},{"@xml:lang":"en","#text":"Terwilliger algebras"},{"@xml:lang":"sl","#text":"Terwilligerjeve algebre"}],"dcterms:temporal":{"@rdf:resource":"2008-2026"},"dc:title":{"@xml:lang":"sl","#text":"A skew group ring of Z/2Z over U(sl_2), Leonard triples and odd graphs|"},"dc:description":[{"@xml:lang":"sl","#text":"We employ a skew group ring of Z/2Z over U(sl2) to construct modules over the universal Bannai–Ito algebra. Furthermore, we characterize the conditions under which the defining generators act as Leonard triples on these modules. As a combinatorial realization, we establish a surjective algebra homomorphism from the universal Bannai–Ito algebra to the Terwilliger algebra of an odd graph. This homomorphism provides a unified description of Leonard triples on all irreducible modules over the Terwilliger algebra"},{"@xml:lang":"sl","#text":"Uporabimo poševni grupni kolobar grupe Z/2Z nad U(sl2) za konstrukcijo modulov nad univerzalno Bannai–Itovo algebro. Poleg tega karakteriziramo pogoje, pri katerih definirani generatorji na teh modulih delujejo kot Leonardove trojice. Kot kombinatorično realizacijo konstruiramo surjektivni homomorfizem algeber iz univerzalne Bannai–Itove algebre v Terwilligerjevo algebro lihega grafa. Ta homomorfizem omogoča enoten opis Leonardovih trojic na vseh nerazcepnih modulih nad Terwilligerjevo algebro"}],"edm:type":"TEXT","dc:type":[{"@xml:lang":"sl","#text":"znanstveno časopisje"},{"@xml:lang":"en","#text":"journals"},{"@rdf:resource":"http://www.wikidata.org/entity/Q361785"}]},"ore:Aggregation":{"@rdf:about":"http://www.dlib.si/?URN=URN:NBN:SI:doc-0FV8QM4K","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:doc-0FV8QM4K"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:doc-0FV8QM4K/8aaefed4-6356-4921-8cab-e6986d0891c6/PDF"},"edm:rights":{"@rdf:resource":"http://creativecommons.org/licenses/by/4.0/"},"edm:provider":"Slovenian National E-content Aggregator","edm:intermediateProvider":{"@xml:lang":"en","#text":"National and University Library of Slovenia"},"edm:dataProvider":{"@xml:lang":"sl","#text":"Univerza na Primorskem, Fakulteta za naravoslovje, matematiko in informacijske tehnologije"},"edm:object":{"@rdf:resource":"http://www.dlib.si/streamdb/URN:NBN:SI:doc-0FV8QM4K/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:doc-0FV8QM4K"}}}}