Exterior algebra resolutions arising from homogeneous bundles
Algebraic Geometry
2011-12-14 v1 Rings and Algebras
Representation Theory
Abstract
For the exterior algebra E over a vector space, we consider general maps E^a -> E(1)^b and general symmetric and skew-symmetric maps E^a -> E(1)^a and describe the associated exterior algebra resolutions. Using the theory of homogeneous bundles on homogeneous varieties we also describe the exterior algebra resolutions of much wider classes of maps E^a -> E(r)^b.
Cite
@article{arxiv.math/0110015,
title = {Exterior algebra resolutions arising from homogeneous bundles},
author = {Gunnar Floystad},
journal= {arXiv preprint arXiv:math/0110015},
year = {2011}
}
Comments
AMSLatex, 9 pages