Hopf Algebras of Combinatorial Structures
Canadian journal of mathematics, Tome 45 (1993) no. 2, pp. 412-428

Voir la notice de l'article provenant de la source Cambridge University Press

A generalization of the definition of combinatorial species is given by considering functors whose domains are categories of finite sets, with various classes of relations as moronisms. Two cases in particular correspond to species for which one has notions of restriction and quotient of structures. Coalgebras and/or Hopf algebras can be associated to such species, the duals of which provide an algebraic framework for studying invariants of structures.
DOI : 10.4153/CJM-1993-021-5
Mots-clés : 16A24, 05A99, 18B99
Schmitt, William R. Hopf Algebras of Combinatorial Structures. Canadian journal of mathematics, Tome 45 (1993) no. 2, pp. 412-428. doi: 10.4153/CJM-1993-021-5
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