2 papers
cs.DM2024
Elementary methods for splitting representations of Rook monoids: a gentle introduction to groupoids
Gérard Henry Edmond Duchamp, Joseph Ben Geloun, Christophe Tollu
We show that the algebra of the coloured rook monoid , {\em i.e.} the monoid of matrices with at most one non-zero entry (an -th root of unity) in each c…
cs.LO2024
About enveloping algebras of direct sums
Gérard Henry Edmond Duchamp, Christophe Tollu, Jean-Gabriel Luque +1
We solve the PBW-like problem of normal ordering for enveloping algebras of direct sums.