Representations of Rota-Baxter algebras and regular singular decompositions

Zongzhu Lin, Li Qiao

There is a Rota-Baxter algebra structure on the field $A=\mathbf{k}((t))$ with $P$ being the projection map $A=\mathbf{k}[[t]]\oplus t^{-1}\mathbf{k}[t^{-1}]$ onto $ \mathbf{k}[[…