: Matemáticas: Hessenberg variety

mathematical analysis > combinatorics > algebraic combinatorics > Hessenberg variety

algebra > combinatorics > algebraic combinatorics > Hessenberg variety

geometry > algebraic geometry > algebraic variety > Hessenberg variety

Hessenberg variety

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)

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