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Koszul and Gorenstein Properties for Homogeneous Algebras

✍ Scribed by Roland Berger; Nicolas Marconnet

Book ID
106341662
Publisher
Springer Netherlands
Year
2006
Tongue
English
Weight
504 KB
Volume
9
Category
Article
ISSN
1386-923X

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I first define Koszul modules, which are a generalization to arbitrary rank of complete intersections. After a study of some of their properties, it is proved that Gorenstein algebras of codimension one or two over a local or graded CM ring are Koszul modules, thus generalizing a well known statemen

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Let G be a reductive algebraic group defined over an algebraically closed field of characteristic zero and let P be a parabolic subgroup of G. We consider the category of homogeneous vector bundles over the flag variety G / P . This category is equivalent to a category of representations of a certai