174 citations · 411 across the 30 of their papers we have counts for
30 papers
On the Combinatorics of the Universal Enveloping Algebra Uh(sl2)
Rafael Diaz, Edward Salamanca
We study using combinatorial methods the structural coefficients of the formal homogeneous universal enveloping algebra Uh(sl2) of the special linear algebra sl2 over a field of ch…
Continuous Analogues for the Binomial Coefficients and the Catalan Numbers
Leonardo Cano, Rafael Diaz
Using techniques from the theories of convex polytopes, lattice paths, and indirect influences on directed manifolds, we construct continuous analogues for the binomial coefficient…
Indirect Influences on Directed Manifolds
Leonardo Cano, Rafael Diaz
We introduce a program aimed to studying problems arising from the theory of complex networks with differential geometric means. We study the propagation of influences on manifolds…
On the Categorification of the Möbius Function
Rafael Diaz
In these notes we study several categorical generalizations of the Möbius function and discuss the relations between the various approaches. We emphasize the topological and geomet…
Quantum Product of Symmetric Functions
Rafael Diaz, Eddy Pariguan
We provide an explicit description of the quantum product of multi-symmetric functions using the elementary multi-symmetric functions introduced by Vaccarino.
Boolean Differential Operators
Jorge Catumba, Rafael Diaz
We consider four combinatorial interpretations for the algebra of Boolean differential operators. We show that each interpretation yields an explicit matrix representation for Bool…