8 citations · 28 across the 17 of their papers we have counts for
7 papers · 1 filter
Homomorphisms and Higher Extensions for Schur algebras and symmetric groups
Anton Cox, Alison Parker
This paper surveys, and in some cases generalises, many of the recent results on homomorphisms and the higher Ext groups for q-Schur algebras and for the Hecke algebra of type A. W…
Homomorphisms between Weyl modules for SL_3(k)
Anton Cox, Alison Parker
We classify all homomorphisms between Weyl modules for SL_3(k) when k is an algebraically closed field of characteristic at least three, and show that the Hom-spaces are all at mos…
Good l-filtrations for q-GL_3(k)
Alison Parker
Let be an algebraically closed field of characteristic , possibly zero, and -$\GL_3(k)$, the quantum group of three by three matrices as defined by Dipper and Donkin. W…
On the global and \nabla-filtration dimensions of quasi-hereditary algebras
Karin Erdmann, Alison E. Parker
In this paper we consider how the \nabla-, Δ- and global dimensions of a quasi-hereditary algebra are interrelated. We first consider quasi-hereditary algebras with simple preservi…
Higher extensions between modules for SL_2
Alison E. Parker
We calculate Ext^*_{SL_2(k)}(Δ(λ), Δ(μ)), Ext^*_{SL_2(k)}(L(λ), Δ(μ)), Ext^*_{SL_2(k)}(Δ(λ), L(μ)), and Ext^*_{SL_2(k)}(L(λ), L(μ)), where Δ(λ) is the Weyl module of highest weight…
On the good filtration dimension of Weyl modules for a linear algebraic group
Alison E. Parker
Let G be a linear algebraic group over an algebraically closed field of characteristic p whose corresponding root system is irreducible. In this paper we calculate the Weyl filtrat…