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Browsing by Author "Bashkirov, Denis Aleksandrovich"

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    The BV formalism for homotopy Lie algebras
    (2014-11) Bashkirov, Denis Aleksandrovich
    The present work concerns certain aspects of homotopy Lie and homotopy Batalin-Vilkovisky structures. In the first part we characterize a class of homotopy BV-algebras canonically associated to strongly homotopy Lie algebras and show that a category of strongly homotopy Lie algebras embeds into a certain subcategory of particularly simple homotopy Batalin-Vilkovisky algebras. In the second part of the work we introduce the notions of coboundary and triangular homotopy Lie bialgebras and discuss a possible a framework for quantization of such bialgebras.