72 citations · 75 across the 4 of their papers we have counts for
6 papers
On dual quadri-algebras
Kyousuke Uchino
This paper has been withdrawn
Twisting on associative algebras and Rota-Baxter type operators
Kyousuke Uchino
We will introduce an operation "twisting" on Hochschild complex by analogy with Drinfeld's twisting operations. By using the twisting and derived bracket construction, we will stud…
Quantum Analogy of Poisson Geometry, Related Dendriform Algebras and Rota-Baxter Operators
Kyousuke Uchino
We will introduce an associative (or quantum) version of Poisson structure tensors. This object is defined as an operator satisfying a "generalized" Rota-Baxter identity of weight…
Courant brackets on noncommutative algebras and omni-Lie algebras
Kyousuke Uchino
We define a Courant bracket on an associative algebra using the theory of Hochschild homology, and we introduce the notion of Dirac algebra. We show that the bracket of an omni-Lie…
Lie algebroid analog of Courant algebroid theory
Kyousuke Uchino
This paper has been withdrawn by UCHINO.
Remarks on the Definition of a Courant Algebroid
Kyousuke Uchino
The notion of Courant algebroid was introduced by Liu, Weinstein and Xu in 1997. Its definition consists of five axioms and an assumption for a derivation. It is shown that two of…