Change search
ReferencesLink to record
Permanent link

Direct link
A decomposition of Fl(n)(d) indexed by permutation arrays
2000 (English)In: Advances in Applied Mathematics, ISSN 0196-8858, E-ISSN 1090-2074, Vol. 25, no 2, 212-227 p.Article in journal (Refereed) Published
Abstract [en]

We study a decomposition of Fl(n)(d-1), where: Fl(n) denotes the flag manifold over C-n. The strata are defined by the dimensions of intersections of one space from each fag, so for d equal to 2 this is the usual Bruhat cell decomposition, The strata are indexed by permutation arrays, which are d-dimensional analogs of permutation matrices. We present a partial order on these permutation arrays, specializing: to the Bruhat order on S-n when d equals 2 and to the lattice of partitions of a d-set when n equals 2.

Place, publisher, year, edition, pages
2000. Vol. 25, no 2, 212-227 p.
Keyword [en]
complete flag, flag manifold, permutation, permutation array, Bruhat order, partition lattice
URN: urn:nbn:se:kth:diva-20018ISI: 000089174400004OAI: diva2:338711
QC 20100525Available from: 2010-08-10 Created: 2010-08-10Bibliographically approved

Open Access in DiVA

No full text

Search in DiVA

By author/editor
Linusson, Svante
In the same journal
Advances in Applied Mathematics

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Total: 16 hits
ReferencesLink to record
Permanent link

Direct link