The second cohomology of simple $SL_2$-modules

DOI10.1090/S0002-9939-09-10088-6zbMath1204.20055arXiv0904.0623MaRDI QIDQ5189167

David I. Stewart

Publication date: 8 March 2010

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

Full work available at URL: https://arxiv.org/abs/0904.0623

zbMATH Keywords

algebraic groupscohomology groupsspectral sequencesirreducible modulesmodular representationsFrobenius kernelsspecial linear groupsdominant weights

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Modular representations and characters (20C20) Cohomology theory for linear algebraic groups (20G10)

Related Items (8)

On the second cohomology of an algebraic group and of its Lie algebra in a positive characteristic ⋮ Unbounding Ext. ⋮ On the cohomology of SL₂ with coefficients in a simple module ⋮ The Second Cohomology Groups of Simple Modules OverSp₄(k) ⋮ Complete reducibility in good characteristic ⋮ The Second Cohomology of SimpleSL₃-Modules ⋮ The reductive subgroups of $F_4$ ⋮ On the 𝑊-action on 𝐵-sheets in positive characteristic

Cites Work

• Unnamed Item
• The second cohomology of small irreducible modules for simple algebraic groups.
• Cohomology of induced representations for algebraic groups
• Higher extensions between modules for \(\text{SL}_2\).
• The Projective Indecomposable Modules of SL(2, p ⁿ )

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