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Versal deformations in generalized flag manifolds

Authors :
X. Puerta
Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
Source :
UPCommons. Portal del coneixement obert de la UPC, Universitat Politècnica de Catalunya (UPC), Recercat. Dipósit de la Recerca de Catalunya, instname
Publisher :
Elsevier Inc.

Abstract

We find explicit miniversal deformations of flags in the generalized flag manifolds, with regard a natural equivalence relation defined by the group action that keeps fixed the reference flag.

Subjects

Subjects :
Pure mathematics
14 Algebraic geometry::14M Special varieties [Classificació AMS]
14 Algebraic geometry::14B Local theory [Classificació AMS]
93C Control systems, guided systems [Control]
Generalized flag manifold
Sistemes de control
Grassmannian
93 Systems Theory
Control::93C Control systems, guided systems [Classificació AMS]
Discrete Mathematics and Combinatorics
Equivalence relation
Geometria algèbrica
Sistemes, Teoria de
System theory
generalized flag manifold
Control::93B Controllability, observability, and system structure [Classificació AMS]
Mathematics::Representation Theory
Mathematics
orbit space
Grassmann manifold
Numerical Analysis
93 Systems Theory [Classificació AMS]
Versal deformation
Algebra and Number Theory
Group (mathematics)
Orbit space
Mathematical analysis
Varietats (Matemàtica)
Action (physics)
Manifold
93B Controllability, observability, and system structure [Control]
Geometry, Algebraic
Geometry and Topology
Flag (geometry)

Details

Language :
English
ISSN :
00243795
Database :
OpenAIRE
Journal :
Linear Algebra and its Applications
Accession number :
edsair.doi.dedup.....97c143c96fb6ced9ae6711740cb9616a
Full Text :
https://doi.org/10.1016/j.laa.2004.11.029
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