5 papers · 1 filter
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…
Modular Lie powers and the Solomon descent algebra
Karin Erdmann, Manfred Schocker
Let be an -dimensional vector space over an infinite field of prime characteristic , and let denote the -th homogeneous component of the free Lie algebra…
A generic algebra associated to certain Hecke algebras
Stephen Doty, Karin Erdmann, Anne Henke
We initiate the systematic study of endomorphism algebras of permutation modules and show they are obtainable by a descent from a certain "generic" Hecke algebra, infinite-dimensio…
Radical embeddings and representation dimension
Karin Erdmann, Thorsten Holm, Osamu Iyama +1
Given a representation-finite algebra B and a subalgebra A of B such that the Jacobson radicals of A and B coincide, we prove that the representation dimension of A is at most thre…
On representations of affine Temperley-Lieb algebras, II
K. Erdmann, R. M. Green
We study some non-semisimple representations of affine Temperley--Lieb algebras and related cellular algebras. In particular, we classify extensions between simple standard modules…