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Questions tagged [combinatorial-species]

For questions concerning the theory and applications of combinatorial species, the endofunctors of the category of finite sets and bijections, and the calculus thereof.

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14
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4answers
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What is the difference between analytic combinatorics and the theory of combinatorial species?

Yesterday I asked the question Why should a combinatorialist know category theory?, where Chris Taylor suggested me to have a look at combinatorial species. I had heard the term before but I haven't ...
5
votes
3answers
641 views

Learning Combinatorial Species.

I have been reading the book conceptual mathematics(first edition) and I'm also about halfway through Diestel's Graph theory (4th edition). I was wondering if I was able to start learning about ...
4
votes
1answer
90 views

Are valued-quiver species and combinatorial species related?

In this paper, Joel Lemay defines a species as a generalization of a valued quiver $Q$, where to each node $i \in Q_0$ we assign a division ring $\mathbf{k}_i$, and to each arrow $(a \colon i \to j) \...
8
votes
2answers
290 views

What are the group objects in the category of finite sets and bijections, and its functor category?

An object $G$ in a category $\mathcal{C}$ is called a group object if, given any object $X$ in $\mathcal{C}$, there is a group structure on the morphisms $\operatorname{hom}\left(X,G\right)$ such that ...