Simply Connected Groups, the Hyperalgebra, and Verma's Conjecture

DOI10.2307/2373960zbMath0415.14028OpenAlexW2327760682WikidataQ123273397 ScholiaQ123273397MaRDI QIDQ3050563

John Brendan Sullivan

Publication date: 1978

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2373960

zbMATH Keywords

representationaffine algebraic grouphyperalgebra

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Formal groups, (p)-divisible groups (14L05) Affine algebraic groups, hyperalgebra constructions (14L17)

Related Items (18)

The structure of certain highest weight modules for \(SL_ 3\) ⋮ A note on Cabanes' decompositions for rational modules ⋮ Homomorphisms between Verma modules in characteristic p ⋮ Representations of quantum algebras ⋮ Generators and relations for the hyperalgebras of reductive groups ⋮ LECTURES ON THE GEOMETRY AND MODULAR REPRESENTATION THEORY OF ALGEBRAIC GROUPS ⋮ On Schur algebras and related algebras III: integral representations ⋮ Cohomology, hyperalgebras, and representations ⋮ The representative functions on the hyperalgebra ⋮ On a classical stability result on invariants of isotypical modules ⋮ The blocks of a semisimple algebraic group ⋮ First degree cohomology of Specht modules and extensions of symmetric powers ⋮ Algebraic groups ⋮ Representations and cohomology for Frobenius-Lusztig kernels ⋮ Über Darstellungen höherer Frobenius-Kerne halbeinfacher algebraischer Gruppen ⋮ Blocks and indecomposable modules for semisimple algebraic groups ⋮ Chevalley groups over commutative rings. I: Elementary calculations ⋮ The representation theory of Brauer categories. I: triangular categories

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