Deformacii graduirovannyh algebr Li : dissertacija na soiskanie učenoj stepeni kandidata fiziko-matematičeskih nauk

(UL)

Deformacii graduirovannyh algebr Li : dissertacija na soiskanie učenoj stepeni kandidata fiziko-matematičeskih nauk

Pagon, Dušan

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).

Type of material - dissertation

Publication and manufacture - Moskva : [D. Pagon], 1982

Language - russian

COBISS.SI-ID - 563545

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FMF, Mathematical Library, Lj.	Skladišče-Jadranska 19 10965/4	available - reading room

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Pagon, Dušan	04588

Source: Personal bibliographies and: SICRIS

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