For each positive integer n the HOMFLY polynomial of links specializes to a one-variable
polynomial that can be recovered from the representation theory of quantum sl (n). For each …

We study finitely generated modules has finite projective dimension. Comparison
morphisms and link these functors. We give a self-contained treatment of modules of finite G …

Modern developments in representation theory rely heavily on homological methods. This
book for advanced graduate students and researchers introduces these methods from their …

for a noetherian scheme, we introduce its unbounded stable derived category. this leads to a
recollement which reflects the passage from the bounded derived category of coherent …

We study the category of matrix factorizations associated to the germ of an isolated
hypersurface singularity. This category is shown to admit a compact generator which is …

Quillen's geometric approach to the cohomology of finite groups [30] has revolutionized
modular representation theory. The ideology and techniques involved have been …

Let A be a finite-dimensional k-algebra (associative, with unit) over some fixed algebraically
closed field k. Let mod A be the category of finitely generated left A-modules. With D= Hom k …

We study the relationship between derived categories of factorizations on gauged Landau–
Ginzburg models related by variations of the linearization in Geometric Invariant Theory …

We study B-type D-branes in linear sigma models with Abelian gauge groups. The most
important finding is the grade restriction rule. It classifies representations of the gauge group …

The study of Cohen-Macaulay modules over Noetherian local rings originates from the
theory of integral representations of finite groups (which, on its side, grew up from a very …