SL2-modules of small homological dimension

Mathematics – Representation Theory

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

Scientific paper

Let Vn be the SL2-module of binary forms of degree n and let V = Vn1+...+Vnp . We consider the algebra R of polynomial functions on V invariant under the action of SL2. The measure of the intricacy of these algebras is the length of their chains of syzygies, called homological dimension hdR. Popov gave in 1983 a classification of the cases in which hdR <=10 for a single binary form (p = 1) or hdR <=3 for a system of two or more binary forms (p > 1). We extend Popov's result and determine for p = 1 the cases with hdR <= 100, and for p > 1 those with hdR <= 15. In these cases we give a set of homogeneous parameters and a set of generators for the algebra R.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

SL2-modules of small homological dimension 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 SL2-modules of small homological dimension, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and SL2-modules of small homological dimension will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-520878

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.