3 citations · 4 across the 6 of their papers we have counts for
8 papers
On framed rook algebras
Diego Arcis, Jorge Espinoza, Marcelo Flores
We introduce and study the framed rook algebra, a structure that unifies two significant generalizations of the Iwahori-Hecke algebra. The first one, introduced by Solomon, extends…
Invariants for singular links via the two parameter bt-algebra
Marcelo Flores, Christopher Roque-Marquez
We construct a new invariant of singular links through representations of the singular braid monoid into the two parameters bt-algebra. Additionally, we recover this invariant by u…
An Alexander type invariant for doodles
Bruno Cisneros, Marcelo Flores, Jesús Juyumaya +1
We construct an Alexander type invariant for oriented doodles from a deformation of the Tits representation of the twin group and from the Chebyshev polynomials of second kind. Sim…
Tied links in the solid torus
Marcelo Flores
We introduce the concept of tied links in the solid torus, which generalize naturally the concept of tied links in previously introduced by Aicardi and Juyumaya. We also defi…
Framization of a Temperley-Lieb algebra of type
Marcelo Flores, Dimos Goundaroulis
We extend the Framization of the Temperley-Lieb algebra to Coxeter systems of type . We first define a natural extension of the classical Temperley-Lieb algebra to Coxe…
A bt-algebra of type B
Marcelo Flores
We introduce a bt-algebra of type B. We define this algebra doing the natural analogy with the original construction of the bt-algebra. Notably we find a basis for it, a faithful t…
A Framization of the Hecke algebra of Type B
Marcelo Flores, Jesus Juyumaya, Sofia Lambropoulou
In this article we introduce a framization of the Hecke algebra of type B. For this framization we construct a faithful tensorial representation and two linear bases. We finally co…
Representations of Generalized Almost-Jordan algebras
Marcelo Flores, Alicia Labra
This paper deals with the variety of commutative algebras satisfying one of the four families of degree four identities found by Carini, Hentzel and Piacentini-Cattaneo in 1988. We…