1 citations · 2 across the 3 of their papers we have counts for
3 papers
math.DG2014★ 1 cited
The Free Courant Algebroid
Benoit Jubin, Norbert Poncin, Kyousuke Uchino
We introduce the category of generalized Courant algebroids and show that it admits a free object on any anchored vector bundle. The free Courant algebroid is built from two compon…
math.QA2012★ 1 cited
Derived bracket construction up to homotopy and Schroder numbers
K. Uchino
We will introduce the notion of higher derived bracket construction in the category of operads and prove that the higher derived bracket construction of Lie operad is equivalent to…
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…