Components of Springer fibers associated to closed orbits for the symmetric pairs \((\mathrm{Sp}(2n), \mathrm{Sp}(2p)\times\mathrm{Sp}(2q))\) and \((\mathrm{SO}(2n), \mathrm{GL}(n))\). I.

DOI10.1016/J.JPAA.2012.12.013zbMath1301.22008OpenAlexW2333378510MaRDI QIDQ392120

Leticia Barchini, Roger Zierau

Publication date: 13 January 2014

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2012.12.013

zbMATH Keywords

flag varietynilpotent conediscrete series representationassociated cycleSpringer fiber

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Grassmannians, Schubert varieties, flag manifolds (14M15) Semisimple Lie groups and their representations (22E46) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Coadjoint orbits; nilpotent varieties (17B08)

Related Items (2)

Components of Springer fibers associated to closed orbits for the symmetric pairs \((\mathrm{Sp}(2n), \mathrm{Sp}(2p)\times\mathrm{Sp}(2q))\) and \((\mathrm{SO}(2n), \mathrm{GL}(n))\). I. ⋮ Components of Springer fibers associated to closed orbits for the symmetric pairs \((\mathrm{Sp}(2n), \mathrm{Sp}(2p) \times \mathrm{Sp}(2q))\) and \((\mathrm{SO}(2n), \mathrm{GL}(n))\). II

Cites Work

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• Components of Springer fibers associated to closed orbits for the symmetric pairs \((Sp(2n),GL(n))\) and \((O(n),O(p)\times O(q))\). I
• Symplectic and orthogonal Robinson-Schensted algorithms
• Regular Orbits of Symmetric Subgroups on Partial Flag Varieties
• Certain components of Springer fibers and associated cycles for discrete series representations of 𝑆𝑈(𝑝,𝑞)
• Characteristic Cycles of Holomorphic Discrete Series
• Linear algebraic groups.

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