The representation dimension is an invariant introduced by Auslander to measure how far a
representation infinite algebra is from being representation finite. In 2005, Rouquier gave …

Lower bounds for the dimension of a triangulated category are provided. These bounds are
applied to stable derived categories of Artin algebras and of commutative complete …

Several years ago, Bondal, Rouquier, and Van den Bergh introduced the notion of the
dimension of a triangulated category, and Rouquier proved that the bounded derived …

We give a lower bound on the Loewy length of a p-block of a finite group in terms of its
defect. We then discuss blocks with small Loewy length. Since blocks with Loewy length at …

We consider selfinjective Artin algebras whose cohomology groups are finitely generated
over a central ring of cohomology operators. For such an algebra, we show that the …

We study the representation dimension of the class of algebras known as quantum complete
intersections. For such an algebra, we show that the representation dimension is at most …

We establish a lower bound for the representation dimension of all the classical Hecke
algebras of types A, B and D. For all the type A algebras, and “most” of the algebras of types …

We initiate the study of modules of constant Jordan type for quantum complete intersections,
and prove a range of basic properties. We then show that for these algebras, constant …

Several years ago, Bondal, Rouquier and Van den Bergh introduced the notion of the
dimension of a triangulated category, and Rouquier proved that the bounded derived …

We give a lower bound of the Loewy length of the projective cover of the trivial module for
the group algebra kG of a finite group G of Lie type defined over a finite field of odd …