108 citations · 109 across the 5 of their papers we have counts for
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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…
Representation theory of the Drinfel'd doubles of a family of Hopf algebras
K. Erdmann, E. L. Green, N. Snashall +1
We investigate the Drinfel'd doubles of a certain family of Hopf algebras. We determine their simple modules and their indecomposable projective modules, and we obtain…
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…