Codimension one intersections of the components of a Springer fiber for the two-column case

DOI10.1016/S0019-3577(09)80006-2zbMath1180.14049arXivmath/0701178OpenAlexW1997088652MaRDI QIDQ1042757

Ngoc Gioan Jean Pagnon, Anna Melnikov

Publication date: 7 December 2009

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0701178

zbMATH Keywords

flag varietyYoung tableauxRobinson-Schensted correspondenceSpringer fibersorbital varieties

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Group actions on varieties or schemes (quotients) (14L30) Grassmannians, Schubert varieties, flag manifolds (14M15)

Related Items (4)

On intersections of orbital varieties and components of Springer fiber ⋮ A unified approach on Springer fibers in the hook, two-row and two-column cases ⋮ Reducibility of the intersections of components of a Springer fiber ⋮ Some characterizations of singular components of Springer fibers in the two-column case

Cites Work

• Reducibility of the intersections of components of a Springer fiber
• Description of \(\mathbf B\)-orbit closures of order 2 in upper-triangular matrices
• On the fixed point set of a unipotent element on the variety of Borel subgroups
• On the desingularization of the unipotent variety
• Orbital varieties in \({\mathfrak sl}_n\) and the Smith conjecture
• \(B\)-orbits in solutions to the equation \(X^2=0\) in triangular matrices
• On intersections of orbital varieties and components of Springer fiber
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