PrerequisiteUndergaduate Algebra, Probability and Functional AnalysisAbstractRepresentation theory of symmetric groups is a classical topic with reach history and many intersections with other areas of mathematics and physics. The conventional approach to the theory, which goes back to Frobenius, Schur, and Young, is bases on ad hoc constructions, starting from the Young diagrams. We plan to pr...
PrerequisiteA basic knowledge of quantum mechanics is required.AbstractThis course will provide a general introduction to the theoretical part of tensor networks. The main contents include symmetric tensor network representation, fermionic tensor network representation, tensor network representation of typical topological quantum states, as well as connections between tensor network representat...
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