The Koszul dual of a weakly Koszul module

Details The Koszul dual of a weakly Koszul module The Koszul dual of a weakly Koszul module

2007-02-02

arxiv.org/abs/math/0702054v1

Mathematics

Representation Theory

20 pages

Scientific paper

We study the so-called weakly Koszul modules and characterise their Koszul
duals. We show that the (adjusted) associated graded module of a weakly Koszul
module exactly determines the homology modules of the Koszul dual. We give an
example of a quasi-Koszul module which is not weakly Koszul.

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