{"?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-5UL82L40/1467c95a-53a6-4030-ae78-e9633b9e83b7/HTML","dcterms:extent":"270 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:DOC-5UL82L40/b4871155-d409-4311-bb78-d6872f1eda8c/PDF","dcterms:extent":"7980 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:DOC-5UL82L40/aaa3d9cc-5c46-4018-b47c-f18622044f29/TEXT","dcterms:extent":"113 KB"}],"edm:ProvidedCHO":{"@rdf:about":"URN:NBN:SI:DOC-5UL82L40","dcterms:issued":"1982","dc:creator":"Pagon, Dušan","dc:format":{"@xml:lang":"sl","#text":"99 strani"},"dc:identifier":["COBISSID:238148864","URN:URN:NBN:SI:doc-5UL82L40"],"dc:language":"ru","dc:publisher":[{"@xml:lang":"sl","#text":"D. Pagon"},{"@xml:lang":"sl","#text":"dLib distributer"}],"dc:source":{"@xml:lang":"sl","#text":"visokošolska dela"},"dc:subject":[{"@xml:lang":"sl","#text":"deformacije"},{"@xml:lang":"en","#text":"deformations"},{"@xml:lang":"sl","#text":"Disertacije"},{"@xml:lang":"en","#text":"graded deformations of Lie algebras"},{"@xml:lang":"en","#text":"Lie algebras"},{"@xml:lang":"en","#text":"Lie rigs"},{"@xml:lang":"sl","#text":"Liejev kolobar"},{"@xml:lang":"sl","#text":"Liejeva algebra"},{"@xml:lang":"sl","#text":"maksimalna nilpotentna podalgebra"},{"@xml:lang":"en","#text":"maximal nilpotent subalgebras"},{"@rdf:resource":"http://www.wikidata.org/entity/Q664495"}],"dc:title":{"@xml:lang":"sl","#text":"Deformacii graduirovannyh algebr Li| dissertacija na soiskanie učenoj stepeni kandidata fiziko-matematičeskih nauk|"},"dc:description":[{"@xml:lang":"sl","#text":"We tried to describe the graded deformations of some natural classes of nilpotent Lie algebras and the class of almost free Lie algebras. That means, that we dad to find local graded deformations (2-cocycles) and solve the problem of existence of their extensions - global graded deformations. The results we recieved can be devided into three groups: (1) General results about graded deformations (the definition, closure of this class under the extension operation, existence of unextendable graded 2-cocycles). (2) Graded deformations of nilpotent Lie algebras (the maximal parts of some classical simple Lie algebras and their specialization). (3) Graded deformations of free and almost free Lie algebras (all of them were found)"},{"@xml:lang":"sl","#text":"Namen naloge je preučevanje graduiranih deformacij nekaterih naravnih skupin nilpotentnih Liejevih algeber in razreda skoraj svobodnih Liejevih algeber. V ta namen je bilo potrebno najprej poiskati vse lokalne graduirane deformacije, torej izračunati druge grupe graduiranih kohomologij za navedene algebre, nato pa rešiti vprašanje nadaljevanj najdenih 2-kociklov do globalnih deformacij. Rezultate lahko razdelimo na tri skupine: (1) Splošni rezultati o graduiranih deformacijah (vpeljan je nov pojem graduirane deformacije, dokazana zaprtost razreda takih deformacij glede nadaljevanj in najden primer graduiranega 2-kocikla, ki nima nadaljevanja). (2) Graduirane deformacije nilpotentnih Liejevih algeber (izračunane so deformacije maksimalnih nilpotentnih podalgeber nekaterih klasičnih enostavnih algeber, rešeno je vprašanje o specifikaciji parametra). (3) Graduirane deformacije svobodnih in skoraj svobodnih Liejevih algeber (v celoti opisane)"},{"@xml:lang":"sl","#text":"doktorska disertacija"}],"edm:type":"TEXT","dc:type":[{"@xml:lang":"sl","#text":"visokošolska dela"},{"@xml:lang":"en","#text":"theses and dissertations"},{"@rdf:resource":"http://www.wikidata.org/entity/Q1266946"}]},"ore:Aggregation":{"@rdf:about":"http://www.dlib.si/?URN=URN:NBN:SI:DOC-5UL82L40","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:DOC-5UL82L40"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:DOC-5UL82L40/b4871155-d409-4311-bb78-d6872f1eda8c/PDF"},"edm:rights":{"@rdf:resource":"http://rightsstatements.org/vocab/InC/1.0/"},"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":"Moskovskij ordena Lenina, Ordena okt. revol. i Ordena trudovogo krasnogo znameni gos. univ. imeni M.V. Lomonosova, Mehaniko-mat. fakul'tet"},"edm:object":{"@rdf:resource":"http://www.dlib.si/streamdb/URN:NBN:SI:DOC-5UL82L40/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:DOC-5UL82L40"}}}}