Dense PGL-orbits in products of Grassmannians

Izzet Coskun, Majid Hadian, Dmitry Zakharov

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

In this paper, we find some necessary and sufficient conditions on the dimension vector d{combining low line}=(d1,...,dk;n) so that the diagonal action of PGL(n) on ∏i=1kGr(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 [11].

Original languageEnglish
Pages (from-to)75-102
Number of pages28
JournalJournal of Algebra
Volume429
DOIs
StatePublished - May 1 2015

Keywords

  • Dense orbits
  • Grassmannians
  • PGL(n) actions

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