Certain components of Springer fibers and associated cycles for discrete series representations of 𝑆𝑈(𝑝,𝑞)

DOI10.1090/S1088-4165-08-00311-7zbMath1186.22017MaRDI QIDQ3614519

Roger Zierau, Leticia Barchini

Publication date: 9 March 2009

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

zbMATH Keywords

flag varietyclosed orbitsdiscrete series representationsSpringer fibersirreducible Harish-Chandra modules

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Linear algebraic groups over the reals, the complexes, the quaternions (20G20)

Related Items

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 ⋮ 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 ⋮ Smooth components of Springer fibers ⋮ 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 ⋮ The unitary spherical spectrum for split classical groups ⋮ On the structure of smooth components of Springer fibers

Cites Work

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• Characteristic Cycles of Holomorphic Discrete Series
• Characteristic Cycles of Discrete Series for ℝ-Rank One Groups
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• Some results about symmetric Lie algebras

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