After successful completion of the course, students are able to

* define and recognize group actions and combinatorial species,

* relate representation theoretic and combinatorial operations on combinatorial species,

* in simple cases, read off a construction for a combinatorial species given an expression for its generating function,

* decompose a combinatorial species into its atomic components.

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Blackboard presentation interspersed with short  exercises and experiments with the computer algebra system SageMath.

Literatur: Bergeron, F., Labelle, G., Leroux, P. Combinatorial species and tree-like structures MathSciNet:1629341

oral exam

The lecture will take into account previous knowledge of the students.