English

On central extensions of preprojective algebras

Representation Theory 2007-05-23 v1 Rings and Algebras

Abstract

We determine the structure of the center and the trace space of the centrally extended preprojective algebra of an ADE quiver, introduced by the first and the third authors in math/0503393. It turns out that this structure has a mysterious relationship to the structure of the maximal nilpotent subalgebra of the corresponding simple Lie algebra.

Cite

@article{arxiv.math/0606403,
  title  = {On central extensions of preprojective algebras},
  author = {Pavel Etingof and Frederic Latour and Eric Rains},
  journal= {arXiv preprint arXiv:math/0606403},
  year   = {2007}
}

Comments

10 pages, latex

R2 v1 2026-07-22T17:37:32.910Z