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A note on Steinberg modules and Frobenius splitting

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Publication:1922549
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DOI10.1007/s002220050037zbMath0864.20028OpenAlexW4230012468MaRDI QIDQ1922549

Vikram B. Mehta, Tyakal Nanjundiah Venkataramana

Publication date: 5 November 1996

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/144356


zbMATH Keywords

charactersflag manifoldsline bundlesSteinberg modulesFrobenius splittingglobal sectionsstrong linkage principle


Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Classical groups (algebro-geometric aspects) (14L35) Cohomology theory for linear algebraic groups (20G10)


Related Items

Frobenius splitting and hyperplane sections of flag manifolds ⋮ Steinberg modules and Donkin pairs ⋮ Monodromy group for a strongly semistable principal bundle over a curve



Cites Work

  • Unnamed Item
  • Frobenius splitting and cohomology vanishing for Schubert varieties
  • The Frobenius morphism on the cohomology of homogeneous vector bundles on G/B
  • A short proof of the Kempf vanishing theorem
  • Reductive groups are geometrically reductive
  • Linear systems on homogeneous spaces
  • On the Frobenius morphism of flag schemes
  • Representations of algebraic groups in prime characteristics
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