8 citations · 28 across the 17 of their papers we have counts for
19 papers
Indecomposable tilting modules for the blob algebra
Amit Hazi, Paul Martin, Alison Parker
The blob algebra is a finite-dimensional quotient of the Hecke algebra of type which is almost always quasi-hereditary. We construct the indecomposable tilting modules for the…
A presentation for the symplectic blob algebra
Richard Green, Paul Martin, Alison Parker
The symplectic blob algebra () is a finite dimensional algebra defined by a multiplication rule on a basis of certain diagrams. The rank of is…
On quasi-heredity and cell module homomorphisms in the symplectic blob algebra
Richard Green, Paul Martin, Alison Parker
This paper reports key advances in the study of the representation theory of the symplectic blob algebra. For suitable specialisations of the parameters we construct four large fam…
On central idempotents in the Brauer algebra
Oliver King, Paul Martin, Alison Parker
We provide a method for constructing central idempotents in the Brauer algebra relating to the splitting of certain short exact sequences. We also determine some of the primitive c…
Stabilisation of the LHS spectral sequence for algebraic groups
Alison E. Parker, David I. Stewart
In this note, we consider the Lyndon--Hochschild--Serre spectral sequence corresponding to the first Frobenius kernel of an algebraic group G, computing the extensions between simp…
First cohomology groups for finite groups of Lie type in defining characteristic
Alison E. Parker, David I. Stewart
Let G be a finite group of Lie type, defined over a field k of characteristic p > 0. We find explicit bounds for the dimension of the first cohomology group for G with coefficients…