The Center of the Nilcoxeter and 0-Hecke Algebras

Joelle Brichard

We compute the dimension of the center of the 0-Hecke algebra ${\mathcal{H}}_n$ and of the Nilcoxeter algebra ${\mathcal{N}\mathcal{C}}_n$ using a calculus of diagrams on the Möbius band. In the…