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math.RT2023
Tied--boxed algebras
Diego Arcis, Jorge Espinoza
We introduce two new algebras that we call \emph{tied--boxed Hecke algebra} and \emph{tied--boxed Temperley--Lieb algebra}. The first one is a subalgebra of the algebra of braids a…
math.CO2023
Symmetric functions in noncommuting variables in superspace
Diego Arcis, Camilo González, Sebastián Márquez
In 2004, Rosas and Sagan developed the theory of symmetric functions in noncommuting variables, achieving results analogous to classical symmetric functions. On the other hand, in…