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Concept information

mathematical analysis > combinatorics > algebraic combinatorics > Hessenberg variety
algebra > combinatorics > algebraic combinatorics > Hessenberg variety
geometry > algebraic geometry > algebraic variety > Hessenberg variety

Terme préférentiel

Hessenberg variety  

Définition

  • In geometry, Hessenberg varieties, first studied by Filippo De Mari, Claudio Procesi, and Mark A. Shayman, are a family of subvarieties of the full flag variety which are defined by a Hessenberg function h and a linear transformation X. The study of Hessenberg varieties was first motivated by questions in numerical analysis in relation to algorithms for computing eigenvalues and eigenspaces of the linear operator X. Later work by T. A. Springer, Dale Peterson, Bertram Kostant, among others, found connections with combinatorics, representation theory and cohomology.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Hessenberg_variety)

Concept générique

Traductions

URI

http://data.loterre.fr/ark:/67375/PSR-Z788WRL2-4

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RDF/XML TURTLE JSON-LD Date de création 18/08/2023, dernière modification le 18/10/2024