A noncommutative BGG correspondence

Peter Jørgensen

Vol. 218 (2005), No. 2, 357–377

DOI: 10.2140/pjm.2005.218.357

Abstract

We set up a noncommutative version of the Bernšteĭn–Gel’fand–Gel’fand (BGG) correspondence and apply it to periodic injective resolutions.

Keywords

noncommutative projective space, Koszul duality, Bernšteĭn–Gel’fand–Gel’fand correspondence, graded Frobenius algebra, periodic injective resolution

Mathematical Subject Classification 2000

Primary: 14A22, 16E05, 16W50

Milestones

Received: 6 November 2003

Published: 1 February 2005