York University

Showing 2013 · math.COShow all

9 papers · 2 filters

math.CO2013★ 4 cited

Fomin-Greene monoids and Pieri operations

Carolina Benedetti, Nantel Bergeron

We explore monoids generated by operators on certain infinite partial orders. Our starting point is the work of Fomin and Greene on monoids satisfying the relations $(ur+\u{r+1})\u…

math.CO2013★ 10 cited

The Pieri rule for dual immaculate quasi-symmetric functions

Nantel Bergeron, Juana Sánchez-Ortega, Mike Zabrocki

The immaculate basis of the non-commutative symmetric functions was recently introduced by the first and third author to lift certain structures in the symmetric functions to the d…

math.CO2013★ 19 cited

Complex Hadamard Matrices, Instantaneous Uniform Mixing and Cubes

Ada Chan

We study the continuous-time quantum walks on graphs in the adjacency algebra of the $n$ -cube and its related distance regular graphs. For $k \geq 2$ , we find graphs in the adjacenc…

math.CO2013★ 17 cited

Multiplicative structures of the immaculate basis of non-commutative symmetric functions

Chris Berg, Nantel Bergeron, Franco Saliola +2

We continue our development of a new basis for the algebra of non-commutative symmetric functions. This basis is analogous to the Schur basis for the algebra of symmetric functions…

math.CO2013★ 27 cited

Indecomposable modules for the dual immaculate basis of quasi-symmetric functions

Chris Berg, Nantel Bergeron, Franco Saliola +2

We construct indecomposable modules for the 0-Hecke algebra whose characteristics are the dual immaculate basis of the quasi-symmetric functions.

math.CO2013★ 1 cited

The immaculate basis of the non-commutative symmetric functions

Chris Berg, Nantel Bergeron, Franco Saliola +2

FPSAC 2013 Extended Abstract. We introduce a new basis of the non-commutative symmetric functions whose elements have Schur functions as their commutative images. Dually, we build…