On the structure of smooth components of Springer fibers

DOI10.1090/S0002-9939-2015-12460-4zbMath1329.14096MaRDI QIDQ5246859

Sammar Sakas-Obeid, Lucas Fresse, Anna Melnikov

Publication date: 22 April 2015

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

flag manifoldsBetti numbersiterated bundlesGrassmannian varietycomponents of a Springer fiber

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Grassmannians, Schubert varieties, flag manifolds (14M15) Coadjoint orbits; nilpotent varieties (17B08)

Related Items (4)

The components of the singular locus of a component of a Springer fiber over \(x^2 = 0\) ⋮ A new approach to the generalized Springer correspondence ⋮ On the generating function for intervals in Young's lattice ⋮ Stratification of a singular component of a Springer fiber over \(x^2 = 0\) of the simplest type

Cites Work

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• Smooth components of Springer fibers
• Some characterizations of singular components of Springer fibers in the two-column case
• Classes unipotentes et sous-groupes de Borel
• On the topology of components of some Springer fibers and their relation to Kazhdan-Lusztig theory.
• Flag varieties and interpretations of Young tableau algorithms
• Some theorems on actions of algebraic groups
• Certain components of Springer fibers and associated cycles for discrete series representations of 𝑆𝑈(𝑝,𝑞)
• Lectures on the Geometry of Flag Varieties
• Singular components of Springer fibers in the two-column case

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