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

DOI10.1016/j.jalgebra.2011.08.001zbMath1254.22007OpenAlexW2132668840MaRDI QIDQ408505

Roger Zierau, Leticia Barchini

Publication date: 10 April 2012

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2011.08.001

zbMATH Keywords

flag varietynilpotent conediscrete series representationassociated cycleSpringer fiber

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) 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 (4)

Character sheaves for classical symmetric pairs ⋮ 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 for the exceptional groups \(G_2\) and \(F_4\) ⋮ Components of Springer fibers associated to closed orbits for the symmetric pairs \((Sp(2n), GL(n))\) and \((O(n), O(p) \times O(q))\). II

Cites Work

• On the fixed point set of a unipotent element on the variety of Borel subgroups
• 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)
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