Lorenzo Putignano

collaborators

3 papers

math.RT2025

Empty runner removal theorem for Ariki-Koike algebras

Alice Dell'Arciprete, Lorenzo Putignano

For the Iwahori-Hecke algebras of type $A$ , James and Mathas proved a theorem which relates $v$ -decomposition numbers for different values of $e$ , by adding empty runners to the Ja…

math.RT2025

Ribbon blocks for centraliser algebras of symmetric groups

Matthew Fayers, Lorenzo Putignano

Suppose $l, m$ are natural numbers with $l \leq m$ , and $F$ a field of characteristic $p$ , and let $C_{l, m}^{F}$ denote the centraliser of the group algebr…

math.RT2024

Decomposition numbers for weight 3 blocks of Iwahori--Hecke algebras of type B

Matthew Fayers, Lorenzo Putignano

Let B be a weight- $3$ block of an Iwahori--Hecke algebra of type B over any field. We develop the combinatorics of B to prove that the decomposition numbers for B are all 0 or 1.