报告摘要：In this talk I present a characterization how Matrix Product States (MPS) or Matrix Product Operators can be exact eigenvectors of an extensive local operator, such as a Hamiltonian. Using this characterization I explain how the well known U_q(sl_2) symmetries of the XXZ model can be found. This gives an insight into quantum groups via simple tensor network methods.

个人简介：Andras Molnar is a senior scientist at the University of Vienna's Faculty of Mathematics since December 2025 working in the group of Norbert Schuch. He earned his PhD from Ludwig-Maximilian-Universität München in 2019, working at the Max Planck Institute of Quantum Optics, and held a postdoctoral position in Madrid from 2019 to 2021, and in Vienna from 2021 to 2025. His research focuses on tensor network methods in quantum many-body physics, investigating how global properties emerge from local, algebraic properties of tensors.

邀请人：孙孝奇 xqsun@iphy.ac.cn