A Reciprocity Result for Projective Indecomposable Modules of Cellular Algebras and BGG Algebras

Details A Reciprocity Result for Projective Indecomposable Modules of Cellular Algebras and BGG Algebras A Reciprocity Result for Projective Indecomposable Modules of Cellular Algebras and BGG Algebras

2010-06-14

arxiv.org/abs/1006.2655v4

Mathematics

Representation Theory

Scientific paper

We show that an adaptation of Landrock's Lemma for symmetric algebras also
holds for cellular algebras and BGG algebras. This is a result relating the
radical layers of any two projective modules. The reason it holds in our
setting is that there is a duality between injective hulls and projective
covers. As a corollary we deduce that BGG reciprocity respects Loewy structure.

Affiliated with

Also associated with

No associations

Rating

A Reciprocity Result for Projective Indecomposable Modules of Cellular Algebras and BGG Algebras does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A Reciprocity Result for Projective Indecomposable Modules of Cellular Algebras and BGG Algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Reciprocity Result for Projective Indecomposable Modules of Cellular Algebras and BGG Algebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-422109