Niamh Farrell

activity

20162022

collaborators

6 papers

math.RT2022

Oriented Temperley--Lieb algebras and combinatorial Kazhdan--Lusztig theory

Chris Bowman, Maud De Visscher, Niamh Farrell +2

We define oriented Temperley--Lieb algebras for classical Hermitian symmetric spaces. This allows us to explain the existence of closed combinatorial formulae for the Kazhdan--Lusz…

math.RT2022

Trivial source character tables of $SL_{2} (q)$ , Part II

Niamh Farrell, Caroline Lassueur

We compute the trivial source character tables (also called species tables of the trivial source ring) of the infinite family of finite groups $SL_{2} (q)$ for $q$ even, over…

math.RT2021

Trivial source character tables of SL(2,q)

Bernhard Böhmler, Niamh Farrell, Caroline Lassueur

We compute the trivial source character tables (also called species tables of the trivial source ring) of the infinite family of finite groups SL(2,q) over a large enough field of…

math.RT2019

Fake Galois Actions

Niamh Farrell, Lucas Ruhstorfer

We prove that for all non-abelian finite simple groups $S$ , there exists a fake mth Galois action on IBr $(X)$ with respect to $X ⊲ X ⋊$ Aut $(X)$ , where $X$ is the univers…

math.RT2018

Rationality of blocks of quasi-simple finite groups

Niamh Farrell, Radha Kessar

Let $ℓ$ be a prime number. We show that the Morita Frobenius number of an $ℓ$ -block of a quasi-simple finite group is at most 4 and that the strong Frobenius number is at mos…

math.RT2016

On the Morita Frobenius numbers of blocks of finite reductive groups