English

The representation dimension of quantum complete intersections

Quantum Algebra 2007-10-16 v1 Representation Theory

Abstract

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 twice its codimension. Moreover, we show that the representation dimension of a "homogeneous" quantum complete intersection is strictly larger than its codimension.

Keywords

Cite

@article{arxiv.0710.2606,
  title  = {The representation dimension of quantum complete intersections},
  author = {Petter Andreas Bergh and Steffen Oppermann},
  journal= {arXiv preprint arXiv:0710.2606},
  year   = {2007}
}

Comments

11 pages

R2 v1 2026-06-21T09:31:20.722Z