On the springer representations of chevalley groups op type f4

DOI10.1080/00927878008822466zbMath0434.20026OpenAlexW2057402666MaRDI QIDQ3872658

Toshiaki Shoji

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1080/00927878008822466

zbMATH Keywords

Chevalley groupBorel subgroupsparabolic subgroupLevi subgroupSpringer representations

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05)

Related Items

Extremal contractions, stratified Mukai flops and Springer maps, Unipotent classes and special Weyl group representations., Springer's Weyl group representations through characteristic classes of cone bundles, Generic singularities of nilpotent orbit closures, On the irreducibility of associated varieties of \(W\)-algebras, Strata of a disconnected reductive group, Algebraic groups, On \(\mathbb Q\)-factorial terminalizations of nilpotent orbits, Springer basic sets and modular Springer correspondence for classical types, Intersection cohomology complexes on a reductive group, On the green polynomials of a chevalley group of type f₄, Differential operators on homogeneous spaces. III: Characteristic varieties of Harish Chandra modules and of primitive ideals, On Springer's correspondence for simple groups of type E_n (n = 6, 7, 8)

Cites Work

• Unnamed Item
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• On the fixed point set of a unipotent element on the variety of Borel subgroups
• On the desingularization of the unipotent variety
• Trigonometric sums, Green functions of finite groups and representations of Weyl groups
• A specialization theorem for certain Weyl group representations and an application to the Green polynomials of unitary groups
• Centralizers of unipotent elements in semisimple algebraic groups
• On the springer representations of the weyl groups of classical algebraic groups