Dense PGL-ORBITS In Products Of Grassmannians
journal contribution
posted on 2018-01-22, 00:00 authored by I. COSKUN, M. HADIAN, D. ZAKHAROVIn this paper, we find some necessary and sufficient conditions on the dimension
vector d = (d1, . . . , dk; n) so that the diagonal action of PGL(n) on Qk
i=1 Gr(di; n) has a
dense orbit. Consequently, we obtain some algorithms for finding dense and sparse dimension
vectors and classify dense dimension vectors with small length or size. We also classify
dimension vectors where |di − dj | < 3 for all i, j generalizing a theorem of Popov [Po1]
Funding
During the preparation of this article the first author was partially supported by the NSF CAREER grant DMS-0950951535, and an Alfred P. Sloan Foundation Fellowship.
History
Publisher Statement
This is the author’s version of a work that was accepted for publication in Journal of Algebra. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal of Algebra, 2015. 429: 75-102. DOI: 10.1016/j.jalgebra.2015.01.019.Publisher
Elsevier Inc.issn
0021-8693Issue date
2015-01-19Usage metrics
Categories
No categories selectedLicence
Exports
RefWorks
BibTeX
Ref. manager
Endnote
DataCite
NLM
DC