M. Aguiar and W. Moreira, Combinatorics of the free Baxter algebra, Electron. J. Combin., 13 (2006), R17.
J. Baez and J. Dolan, From finite set to Feynman diagrams, in Bj¨orn En- gquist and Wilfried Schmid (Eds.), Mathematics Unlimited - 2001 and Beyond, Springer, Berlin, 2001, pp. 29-50.
J. Baez and J. Dolan, Categorification, in E. Getzler, M. Kapranov (Eds.), Higher category theory, Evanston, IL, 1997, Contemp. Math., vol. 230, Amer.
Math. Soc., Providence, RI, 1998, pp. 1-36.
F. Bergeron, G. Labelle and P. Leroux, Combinatorial species and tree-like structures, Cambridge Univ. Press, Cambridge, 1998.
H. Bland´ın and R. D´ıaz, Compositional Bernoulli numbers, Afr. Diaspora J. Math, at press. H. Bland´ın and R. D´ıaz, On the combinatorics of hypergeometric functions, Adv. Stud. Contemp. Math, 14 (2007), 153-160.
H. Bland´ın and R. D´ıaz, Rational combinatorics, Adv. in Appl. Math., 40 (2008), 107-126.
E. Castillo and R. D´ıaz, Categorical renormalization, in preparation. P. Cartier, On the structure of Baxter algebras, Adv. in Math., 9 (1972), 253
L. Crane and I. Frenkel, Four-dimensional topological quantum field theory, Hopf categories, and the canonical bases, J. Math. Phys., 35 (1994), 5136-5154.
L. Crane and D. Yetter, Examples of categorification, Gahiers Topologie G´eom. Deff´erentielle Cat´eg., 39 (1998), 3-25.
P. Cheung and V. Kac, Quantum Calculus, Springer-Verlag, Berlin, 2002.
A. Connes and D. Kreimer, Renormalization in quantum field theory and Riemann-Hilbert problem I, Comm. Math. Phys., 210 (2000), 249-273.
R. D´ıaz and E. Pariguan, Categorification of Feynman Integrals, in prepara- tion. R. D´ıaz and E. Pariguan, Feynman-Jackson integrals, J. Nonlinear Math. Phys., 13 (2006), 365-376.
R. D´ıaz and E. Pariguan, An example of Feynman-Jackson integral, J. Phys. A, 40 (2007), 1265-1272.
R. D´ıaz and E. Pariguan, Super, quantum and noncommutative species, preprint, arXiv:math.CT/0509674.
R. D´ıaz and M. P´aez, On an identity in Rota-Baxter algebras, Sm. Lothar. Combin. 57 (2007), B57b.
R. D´ıaz and C. Teruel, q, k-generalized gamma and beta functions, J. Nonlinear Math. Phys., 12 (2005), 118-134.
K. Ebraihimi-Fard and L. Guo, On free Rota-Baxter algebras, preprint, arXiv:math.NT/0510266.
M. Goresky and R. MacPherson, Intersection homology, Topology, 19 (1980), 162.
A. Joyal, Une th´eorie combinatoire des s´eries formelles, Adv. in Math., 42 (1981), 1-82.
M. Laplaza, Coherence for distributivity, in Coherence in Categories, Lecture Notes in Math., vol. 281, Springer, Berlin, 1972, pp. 29-65.
M. Khovanov, A categorification of Jones polynomial, Duke Math. J., 143 (1986), 288-348.
S. Mac Lane, Categories for the Working Mathematician, Springer, Berlin and New York, 1971.
G. C. Rota, Gian-Carlo Rota on Combinatorics, Joseph Kung (Ed.), Birkh¨auser, Boston and Basel, 1995. Edmundo Castillo
Facultad de Ciencias Universidad Central de Venezuela Caracas 1020, Venezuela e-mail: edmundo.castillo@ciens.ucv.ve Rafael D´ıaz
Facultad de Administraci´on Universidad del Rosario Bogota, Colombia e-mail: ragadiaz@gmail.com
M. Aguiar and W. Moreira, Combinatorics of the free Baxter algebra, Electron. J. Combin., 13 (2006), R17.
J. Baez and J. Dolan, From finite set to Feynman diagrams, in Bj¨orn En- gquist and Wilfried Schmid (Eds.), Mathematics Unlimited - 2001 and Beyond, Springer, Berlin, 2001, pp. 29-50.
J. Baez and J. Dolan, Categorification, in E. Getzler, M. Kapranov (Eds.), Higher category theory, Evanston, IL, 1997, Contemp. Math., vol. 230, Amer.
Math. Soc., Providence, RI, 1998, pp. 1-36.
F. Bergeron, G. Labelle and P. Leroux, Combinatorial species and tree-like structures, Cambridge Univ. Press, Cambridge, 1998.
H. Bland´ın and R. D´ıaz, Compositional Bernoulli numbers, Afr. Diaspora J. Math, at press. H. Bland´ın and R. D´ıaz, On the combinatorics of hypergeometric functions, Adv. Stud. Contemp. Math, 14 (2007), 153-160.
H. Bland´ın and R. D´ıaz, Rational combinatorics, Adv. in Appl. Math., 40 (2008), 107-126.
E. Castillo and R. D´ıaz, Categorical renormalization, in preparation. P. Cartier, On the structure of Baxter algebras, Adv. in Math., 9 (1972), 253
L. Crane and I. Frenkel, Four-dimensional topological quantum field theory, Hopf categories, and the canonical bases, J. Math. Phys., 35 (1994), 5136-5154.
L. Crane and D. Yetter, Examples of categorification, Gahiers Topologie G´eom. Deff´erentielle Cat´eg., 39 (1998), 3-25.
P. Cheung and V. Kac, Quantum Calculus, Springer-Verlag, Berlin, 2002.
A. Connes and D. Kreimer, Renormalization in quantum field theory and Riemann-Hilbert problem I, Comm. Math. Phys., 210 (2000), 249-273.
R. D´ıaz and E. Pariguan, Categorification of Feynman Integrals, in prepara- tion. R. D´ıaz and E. Pariguan, Feynman-Jackson integrals, J. Nonlinear Math. Phys., 13 (2006), 365-376.
R. D´ıaz and E. Pariguan, An example of Feynman-Jackson integral, J. Phys. A, 40 (2007), 1265-1272.
R. D´ıaz and E. Pariguan, Super, quantum and noncommutative species, preprint, arXiv:math.CT/0509674.
R. D´ıaz and M. P´aez, On an identity in Rota-Baxter algebras, Sm. Lothar. Combin. 57 (2007), B57b.
R. D´ıaz and C. Teruel, q, k-generalized gamma and beta functions, J. Nonlinear Math. Phys., 12 (2005), 118-134.
K. Ebraihimi-Fard and L. Guo, On free Rota-Baxter algebras, preprint, arXiv:math.NT/0510266.
M. Goresky and R. MacPherson, Intersection homology, Topology, 19 (1980), 162.
A. Joyal, Une th´eorie combinatoire des s´eries formelles, Adv. in Math., 42 (1981), 1-82.
M. Laplaza, Coherence for distributivity, in Coherence in Categories, Lecture Notes in Math., vol. 281, Springer, Berlin, 1972, pp. 29-65.
M. Khovanov, A categorification of Jones polynomial, Duke Math. J., 143 (1986), 288-348.
S. Mac Lane, Categories for the Working Mathematician, Springer, Berlin and New York, 1971.
G. C. Rota, Gian-Carlo Rota on Combinatorics, Joseph Kung (Ed.), Birkh¨auser, Boston and Basel, 1995. Edmundo Castillo
Facultad de Ciencias Universidad Central de Venezuela Caracas 1020, Venezuela e-mail: edmundo.castillo@ciens.ucv.ve Rafael D´ıaz
Facultad de Administraci´on Universidad del Rosario Bogota, Colombia e-mail: ragadiaz@gmail.com