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math.RT2022
On the first Hochschild cohomology of finite dimensional quiver algebras under gluing idempotents
Yuming Liu, Lleonard Rubio y Degrassi, Can Wen
We compare the Lie algebra structures of the first Hochschild cohomology groups of a quiver algebra and a radical embedding obtained by gluing two idempotents of . Under…
math.RA2022
Deformations and Cohomology Theory of Rota-Baxter Systems
Yuming Liu, Kai Wang, Liwen Yin
Inspired by the work of Wang and Zhou [4] for Rota-Baxter algebras, we develop a cohomology theory of Rota-Baxter systems and justify it by interpreting the lower degree cohomology…