"CZ - \u010Cesk\u00E1 republika" . "5" . . "Deformation Theory ( Lecture Notes )" . "V \u010Dl\u00E1nku jsou vysv\u011Btleny z\u00E1kladn\u00ED pojmy teorie deformac\u00ED zalo\u017Een\u00E9 na Maurer-Cartanov\u011B rovnici."@cs . . "Markl, Martin" . . . . "416029" . . . "333;371" . "Archivum mathematicum" . . "43" . . "Teorie deformac\u00ED ( z\u00E1pisy z p\u0159edn\u00E1\u0161ek )"@cs . . "Deformation Theory ( Lecture Notes )" . . "Deformation Theory ( Lecture Notes )"@en . "deformation; Mauerer-Cartan equation; strongly homotopy Lie algebra"@en . . "Doubek, M." . . "Zima, P." . . "Deformation Theory ( Lecture Notes )"@en . "RIV/67985840:_____/07:00098923" . . "0044-8753" . "1"^^ . "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\u00B4s proof of the existence of deformation quantization of Poisson manifolds." . "RIV/67985840:_____/07:00098923!RIV08-AV0-67985840" . . "[246B38E9A50C]" . "39"^^ . "3"^^ . "Teorie deformac\u00ED ( z\u00E1pisy z p\u0159edn\u00E1\u0161ek )"@cs . "P(GA201/05/2117), Z(AV0Z10190503)" . . "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\u00B4s proof of the existence of deformation quantization of Poisson manifolds."@en .