Exterior algebra resolutions arising from homogeneous bundles

Gunnar Floystad

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Exterior algebra resolutions arising from homogeneous bundles

Gunnar Floystad

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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.

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BibTeX RIS

Gunnar Floystad. 2001-10-01. Exterior algebra resolutions arising from homogeneous bundles. https://arxiv.org/abs/math/0110015

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