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math.QA2006
Strongly homotopy Lie bialgebras and Lie quasi-bialgebras
Olga Kravchenko
Structures of Lie algebras, Lie coalgebras, Lie bialgebras and Lie quasibialgebras are presented as solutions of Maurer-Cartan equations on corresponding governing differential gra…
math.QA1999
Deformations of Batalin-Vilkovisky algebras
Olga Kravchenko
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 or…
math.QA1998
Deformation Quantization of Symplectic Fibrations
Olga Kravchenko
A symplectic fibration is a fibre bundle in the symplectic category. We find the relation between deformation quantization of the base and the fibre, and the total space. We use th…