Mathematics – Commutative Algebra
Scientific paper
2008-03-05
Mathematics
Commutative Algebra
Scientific paper
Tanisaki introduced generating sets for the defining ideals of the schematic intersections of the closure of conjugacy classes of nilpotent matrices with the set of diagonal matrices. These ideals are naturally labeled by integer partitions. Given such a partition $\lambda$, we define several methods to produce a reduced generating set for the associated ideal $I_{\lambda}$. For particular shapes we find nice generating sets. By comparing our sets with some generating sets of $I_{\lambda}$ arising from a work of Weyman, we find a counterexample to a related conjecture of Weyman.
Biagioli Riccardo
Faridi Sara
Rosas Mercedes
No associations
LandOfFree
The defining ideals of conjugacy classes of nilpotent matrices and a conjecture of Weyman 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 The defining ideals of conjugacy classes of nilpotent matrices and a conjecture of Weyman, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The defining ideals of conjugacy classes of nilpotent matrices and a conjecture of Weyman will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-161263