72 citations · 134 across the 17 of their papers we have counts for
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math.QA2010
Noncommutative Poisson brackets on Loday algebras and related deformation quantization
Kyousuke Uchino
Given a Lie algebra, there uniquely exists a Poisson algebra which is called a Lie-Poisson algebra over the Lie algebra. We will prove that given a Loday/Leibniz algebra there exis…
hep-th2010★ 18 cited
QP-Structures of Degree 3 and 4D Topological Field Theory
Noriaki Ikeda, Kyousuke Uchino
A A BV algebra and a QP-structure of degree 3 is formulated. A QP-structure of degree 3 gives rise to Lie algebroids up to homotopy and its algebraic and geometric structure is ana…
math.QA2010
Higher derived brackets, strong homotopy associative algebras and Loday pairs
K. Uchino
We give a quick method of constructing strong homotopy associative algebra, namely, the higher derived product construction. This method is associative analogue of classical higher…