Les (a,b)-algèbres à homotopie près

Details Les (a,b)-algèbres à homotopie près Les (a,b)-algèbres à homotopie près

2008-07-11

arxiv.org/abs/0807.1853v1

Mathematics

Quantum Algebra

Scientific paper

We study in this article the concepts of algebra up to homotopy for a structure defined by two operations $ \pt $ and $[, ]$. Having determined the structure of $ G_\infty $ algebras and $ P_\infty $ algebras, we generalize this construction and we define a structure of $ (a, b)$-algebra up to homotopy. Given a structure of commutative and differential graded Lie algebra for two shifts degree given by $a$ and $b$, we will give an explicit construction of the associate algebra up to homotopy

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