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…
hep-th2024
Counting of surfaces and computational complexity in column sums of symmetric group character tables
Joseph Ben Geloun, Sanjaye Ramgoolam
The character table of the symmetric group , of permutations of objects, is of fundamental interest in theoretical physics, combinatorics as well as computational complexi…