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Statements

Subject Item
n2:RIV%2F67985840%3A_____%2F07%3A00098923%21RIV08-AV0-67985840
rdf:type
n6:Vysledek skos:Concept
dcterms:description
V článku jsou vysvětleny základní pojmy teorie deformací založené na Maurer-Cartanově rovnici. First three sections of this overview paper cover classical topics of deformation theory of associative algebras and necessary background material. We then analyze algebraic structures of the Hochschild cohomology and describe the relation between deformations and solutions of the corresponding Maurer-Cartan equation. In Section 6 we generalize the Maurer-Cartan equation to strongly homotopy Lie algebras and prove the homotopy invariance of the moduli space of solutions of this equation. In the last section we indicate the main ideas of Kontsevich´s proof of the existence of deformation quantization of Poisson manifolds. First three sections of this overview paper cover classical topics of deformation theory of associative algebras and necessary background material. We then analyze algebraic structures of the Hochschild cohomology and describe the relation between deformations and solutions of the corresponding Maurer-Cartan equation. In Section 6 we generalize the Maurer-Cartan equation to strongly homotopy Lie algebras and prove the homotopy invariance of the moduli space of solutions of this equation. In the last section we indicate the main ideas of Kontsevich´s proof of the existence of deformation quantization of Poisson manifolds.
dcterms:title
Deformation Theory ( Lecture Notes ) Teorie deformací ( zápisy z přednášek ) Deformation Theory ( Lecture Notes )
skos:prefLabel
Deformation Theory ( Lecture Notes ) Deformation Theory ( Lecture Notes ) Teorie deformací ( zápisy z přednášek )
skos:notation
RIV/67985840:_____/07:00098923!RIV08-AV0-67985840
n3:strany
333;371
n3:aktivita
n10:Z n10:P
n3:aktivity
P(GA201/05/2117), Z(AV0Z10190503)
n3:cisloPeriodika
5
n3:dodaniDat
n13:2008
n3:domaciTvurceVysledku
n15:7820259
n3:druhVysledku
n4:J
n3:duvernostUdaju
n7:S
n3:entitaPredkladatele
n12:predkladatel
n3:idSjednocenehoVysledku
416029
n3:idVysledku
RIV/67985840:_____/07:00098923
n3:jazykVysledku
n17:eng
n3:klicovaSlova
deformation; Mauerer-Cartan equation; strongly homotopy Lie algebra
n3:klicoveSlovo
n16:strongly%20homotopy%20Lie%20algebra n16:Mauerer-Cartan%20equation n16:deformation
n3:kodStatuVydavatele
CZ - Česká republika
n3:kontrolniKodProRIV
[246B38E9A50C]
n3:nazevZdroje
Archivum mathematicum
n3:obor
n11:BA
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
3
n3:projekt
n9:GA201%2F05%2F2117
n3:rokUplatneniVysledku
n13:2007
n3:svazekPeriodika
43
n3:tvurceVysledku
Markl, Martin Doubek, M. Zima, P.
n3:zamer
n8:AV0Z10190503
s:issn
0044-8753
s:numberOfPages
39