论文标题
Rota-baxter操作员在参考联想代数上
Rota-Baxter operators on involutive associative algebras
论文作者
论文摘要
在本文中，我们将Rota-baxter操作员视为涉及的联想代数。我们将Rota-baxter操作员的共同体定义在控制操作员形式变形的参与代数上。该协同学可以看作是特定涉及的缔合代数的Hochschild共同体，其系数在合适的参考双模块中。我们还将这一共同体学与涉及树突形代数的共同论联系起来。最后，我们表明，从树突状代数类别到rota-baxter代数类别的函子的标准Fard-guo构建限制为涉及案例。
In this paper, we consider Rota-Baxter operators on involutive associative algebras. We define cohomology for Rota-Baxter operators on involutive algebras that governs the formal deformation of the operator. This cohomology can be seen as the Hochschild cohomology of a certain involutive associative algebra with coefficients in a suitable involutive bimodule. We also relate this cohomology with the cohomology of involutive dendriform algebras. Finally, we show that the standard Fard-Guo construction of the functor from the category of dendriform algebras to the category of Rota-Baxter algebras restricts to the involutive case.
