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2000 | 51 | 1 | 131-139
Tytuł artykułu

Deformations of Batalin-Vilkovisky algebras

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Abstrakty
EN
We show that a graded commutative algebra A with any square zero odd differential operator is a natural generalization of a Batalin-Vilkovisky algebra. While such an operator of order 2 defines a Gerstenhaber (Lie) algebra structure on A, an operator of an order higher than 2 (Koszul-Akman definition) leads to the structure of a strongly homotopy Lie algebra ($L_∞$-algebra) on A. This allows us to give a definition of a Batalin-Vilkovisky algebra up to homotopy. We also make a conjecture which is a generalization of the formality theorem of Kontsevich to the Batalin-Vilkovisky algebra level.
Słowa kluczowe
Rocznik
Tom
51
Numer
1
Strony
131-139
Opis fizyczny
Daty
wydano
2000
Twórcy
  • Institut Girard Desargues (UPRES-A 5028), Université Claude Bernard - Lyon I, 43, boulevard du 11 novembre 1918, 69622 Villeurbanne Cedex, France
Bibliografia
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