Components of Springer fibers for the exceptional groups \(G_2\) and \(F_4\)

DOI10.1016/J.JALGEBRA.2013.11.014zbMath1310.22011OpenAlexW1979110172MaRDI QIDQ405834

Brandon Samples

Publication date: 8 September 2014

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2013.11.014

zbMATH Keywords

flag varietyexceptional Lie groupnilpotent conereal formdiscrete series representationSpringer fibermultiplicity polynomial

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) Exceptional groups (20G41)

Cites Work

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• Linear algebraic groups
• Kompakte Unterräume symmetrischer Räume. (Compact subspaces of symmetric spaces)
• Certain components of Springer fibers and associated cycles for discrete series representations of 𝑆𝑈(𝑝,𝑞)
• The component groups of nilpotents in exceptional simple real lie algebras
• Characteristic Cycles of Discrete Series for ℝ-Rank One Groups
• Orbits and Representations Associated with Symmetric Spaces
• Introduction to Lie Algebras and Representation Theory
• Lie groups beyond an introduction
• Matrix generators for exceptional groups of Lie type

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