On Lagrangian Grassmannian Variety and Plücker Matrices

Jesús Carrillo-Pacheco ()
Additional contact information
Jesús Carrillo-Pacheco: Academia de Matemáticas, Universidad Autónoma de la Ciudad de México, Ciudad de México 09390, Mexico

Mathematics, 2024, vol. 12, issue 6, 1-27

Abstract: The Plücker matrix B L ( n , E ) of the Lagrangian Grassmannian L ( n , E ) , is determined by the linear envelope ⟨ L ( n , E ) ⟩ of the Lagrangian Grassmannian. The linear envelope ⟨ L ( n , E ) ⟩ is the intersection of linear relations of Plücker of Lagrangian Grassmannian, defined here. The Plücker matrix B L ( n , E ) is a direct sum of the incidence matrix of the configuration of subsets. These matrices determine the isotropy index r n and r n -atlas which are invariants associated with the symplectic vector space E .

Keywords: Lagrangian Grassmannian; Linear Envelope; Contraction Map; Incidence Matrices; Radical Ideal; Seindeber’s lemma (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/12/6/858/pdf (application/pdf)
https://www.mdpi.com/2227-7390/12/6/858/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:12:y:2024:i:6:p:858-:d:1357327

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().