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Equivariant representations of the symmetric groups
ArticleAbstract:Palabras claves:Autores:De Chela D., Miguel A. MendezFuentes:scopusA new approach to the r-Whitney numbers by using combinatorial differential calculus
ArticleAbstract: In the present article we introduce two new combinatorial interpretations of the r-Whitney numbers oPalabras claves:differential operators, r-Dowling polynomial, r-Whitney numberAutores:Miguel A. Mendez, Ramírez J.L.Fuentes:scopusPlethystic exponential polynomials and plethystic Stirling numbers
ArticleAbstract: In this article we introduce a plethystic generalization of the exponential polynomials and their umPalabras claves:Autores:Miguel A. MendezFuentes:scopusPosets from Cancellative Operads and Koszul Duality
Book PartAbstract: A species is said to be homogeneous concentrated in m, if for Based on previous work of Fresse [Fre0Palabras claves:Cohen-Macaulay Poset, Cooperad, Koszul duality, Linear Species, Quadratic OperadAutores:Miguel A. MendezFuentes:scopusKoszul duality for monoids and the operad of enriched rooted trees
ArticleAbstract: We introduce here the notion of Koszul duality for monoids in the monoidal category of species withPalabras claves:c-Monoids, Enriched trees, Koszul duality, Operads, speciesAutores:Miguel A. MendezFuentes:scopusPreliminaries on Species and Set Operads
Book PartAbstract: The formal definition of a species and its exponential generating function are given. Based on the iPalabras claves:Biggest Tourist, Finite Topological Spaces, Operad, Wear Labels, Winning Coali TionAutores:Miguel A. MendezFuentes:scopusOn the arithmetic product of combinatorial species
ArticleAbstract: We introduce two new binary operations on combinatorial species; the arithmetic product and the modiPalabras claves:Arithmetic product, Combinatorial species, Euler product formula, Graph product, Partition meetAutores:Maia M., Miguel A. MendezFuentes:scopusOperations on Species and Operads
Book PartAbstract: In this chapter operations on species (sum, product, Hadamard product, derivative, and substitution)Palabras claves:Formal Power Series, Internal Vertex, Monoidal Category, Natural Transformation, Partial ProductAutores:Miguel A. MendezFuentes:scopusTensor species and symmetric functions
ArticleAbstract: An equivariant representation of the symmetric group S(n) (equivariant representation from here on)Palabras claves:plethysm, representations, species, symmetric groupAutores:Miguel A. MendezFuentes:scopusThe asymptotic expansion for n! and the Lagrange inversion formula
ArticleAbstract: We obtain an explicit simple formula for the coefficients of the asymptotic expansion for the factorPalabras claves:Asymptotic expansions, Gamma function, Lagrange inversion formula, Stirling numbersAutores:Brassesco S., Miguel A. MendezFuentes:scopus