On Quivers Satisfying Quantum Yang-Baxter Equation, and Hecke Condition

Abstract: In this paper we initiate the study of quivers satisfying quantum Yang-Baxter equation. By considering quivers with quantum group like relations such as quantum Yang-Baxter equation, Hecke condition, we follow RTT construction to produce examples of Leavitt path algebras that contain quantum matrix algebra as subalgebra. Furthermore, we show that the quantum Yang-Baxter equation, and Hecke condition for our RTT construction can be generated intrinsically from the adjacency matrix of certain quivers.