Rook poset equivalence of Ferrers boards

Details Rook poset equivalence of Ferrers boards Rook poset equivalence of Ferrers boards

2005-02-05

arxiv.org/abs/math/0502107v1

Mathematics

Combinatorics

14 pages, 7 figures

Scientific paper

A natural construction due to K. Ding yields Schubert varieties from Ferrers boards. The poset structure of the Schubert cells in these varieties is equal to the poset of maximal rook placements on the Ferrers board under the Bruhat order. We determine when two Ferrers boards have isomorphic rook posets. Equivalently, we give an exact categorization of when two Ding Schubert varieties have identical Schubert cell structures. This also produces a complete classification of isomorphism types of lower intervals of 312-avoiding permutations in the Bruhat order.

Affiliated with

Also associated with

No associations

Rating

Rook poset equivalence of Ferrers boards 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 Rook poset equivalence of Ferrers boards, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Rook poset equivalence of Ferrers boards will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-436993