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.
-
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.