Matrix factorizations for quantum complete intersections

2017/10/20 by Petter Andreas Bergh, Bergh, Petter Andreas, Karin Erdmann +1 · 1 citation
Mathematics · #Category Theory (math.CT) #FOS: Mathematics #K-Theory and Homology (math.KT) #Representation Theory (math.RT) #Rings and Algebras (math.RA) #math.CT #math.KT #math.RA #math.RT

paper · pdf · doi:10.48550/arxiv.1710.07523

13 pages

arxiv created 2017/10/20 · arxiv updated 2017/10/23

Abstract

We introduce twisted matrix factorizations for quantum complete intersections of codimension two. For such an algebra, we show that in a given dimension, almost all the indecomposable modules with bounded minimal projective resolutions correspond to such matrix factorizations.

Cited by

• Triangulated categories arising from n-fold matrix factorizations

Related

• The representation dimension of quantum complete intersections
• Higher-dimensional module factorizations and complete intersections
• Modules of constant Jordan type over quantum complete intersections
• (Co)homology of quantum complete intersections
• Clifford quadratic complete intersections