{"?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-2J3ZJXJS/34a13d2d-4c20-4976-8ee9-401213b70562/PDF","dcterms:extent":"349 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-2J3ZJXJS/66f73029-003c-4e37-9f57-e26fffde2b98/TEXT","dcterms:extent":"27 KB"}],"edm:TimeSpan":{"@rdf:about":"2008-2025","edm:begin":{"@xml:lang":"en","#text":"2008"},"edm:end":{"@xml:lang":"en","#text":"2025"}},"edm:ProvidedCHO":{"@rdf:about":"URN:NBN:SI:doc-2J3ZJXJS","dcterms:isPartOf":[{"@rdf:resource":"https://www.dlib.si/details/URN:NBN:SI:spr-UP1WMFAR"},{"@xml:lang":"sl","#text":"Ars mathematica contemporanea"}],"dcterms:issued":"2016","dc:creator":["Franchi, Clara","Ivanov, Alexander A.","Mainardis, Mario"],"dc:format":[{"@xml:lang":"sl","#text":"številka:1"},{"@xml:lang":"sl","#text":"letnik:11"},{"@xml:lang":"sl","#text":"str. 175-187"}],"dc:identifier":["COBISSID:17845849","ISSN:1855-3966","URN:URN:NBN:SI:doc-2J3ZJXJS"],"dc:language":"en","dc:publisher":{"@xml:lang":"sl","#text":"Univerza na Primorskem, Fakulteta za matematiko, naravoslovje in informacijske tehnologije"},"dc:subject":[{"@xml:lang":"sl","#text":"algebra Pošast"},{"@xml:lang":"sl","#text":"asociativne sheme"},{"@xml:lang":"en","#text":"association schemes"},{"@xml:lang":"en","#text":"Harada-Norton group"},{"@xml:lang":"sl","#text":"Harada-Nortonova grupa"},{"@xml:lang":"en","#text":"Majorana representations"},{"@xml:lang":"sl","#text":"Majoranova reprezentacija"},{"@xml:lang":"en","#text":"monster algebra"}],"dcterms:temporal":{"@rdf:resource":"2008-2025"},"dc:title":{"@xml:lang":"sl","#text":"The 2A-Majorana representations of the Harada-Norton group|"},"dc:description":[{"@xml:lang":"sl","#text":"We show that all 2?$A$?-Majorana representations of the Harada-Norton group ?$F_{5}$? have the same shape. If ?$\\mathcal{R}$? is such a representation, we determine, using the theory of association schemes, the dimension and the irreducible constituents of the linear span ?$U$? of the Majorana axes. Finally, we prove that, if ?$\\mathcal{R}$? is based on the (unique) embedding of ?$F_{5}$? in the Monster, ?$U$? is closed under the algebra product"},{"@xml:lang":"sl","#text":"Pokažemo, da imajo vse 2?$A$?-Majoranove reprezentacije Harada-Nortonove grupe ?$F_{5}$? enako obliko. Vsaki takšni reprezentaciji ?$\\mathcal{R}$? s pomočjo teorije asociativnih shem določimo dimenzijo in ireducibilne sestavine linearne lupine ?$U$? njenih Majoranovih osi. Nazadnje dokažemo: če ?$\\mathcal{R}$? bazira na (enolični) vložitvi ?$F_{5}$? v algebro Pošast, potem je ?$U$? zaprta glede na algebrski produkt"}],"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-2J3ZJXJS","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:doc-2J3ZJXJS"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:doc-2J3ZJXJS/34a13d2d-4c20-4976-8ee9-401213b70562/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-2J3ZJXJS/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:doc-2J3ZJXJS"}}}}