\(\text{Ext}^ 1\) for Weyl modules of \(\text{SL}_ 2(K)\)

DOI10.1007/BF02571915zbMath0824.20039MaRDI QIDQ1894825

Karin Erdmann

Publication date: 1 November 1995

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174740

zbMATH Keywords

Weyl moduleshighest weightquasi-hereditary algebrashighest weight categories

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Linear algebraic groups over arbitrary fields (20G15) Representation theory for linear algebraic groups (20G05) Cohomology theory for linear algebraic groups (20G10)

Related Items (18)

On Ext-transfer for reductive Lie algebras ⋮ On the Ext groups between Weyl modules for \(\text{GL}_n\). ⋮ On the cohomology of Specht modules. ⋮ Row and column removal theorems for homomorphisms of Specht modules and Weyl modules. ⋮ Higher extensions between modules for \(\text{SL}_2\). ⋮ Bounding and unbounding higher extensions for \(\mathrm{SL}_2\). ⋮ First degree cohomology of Specht modules and extensions of symmetric powers ⋮ Some remarks on tilting modules, double centralisers and Lie modules ⋮ Cohomology of SL₂ and related structures ⋮ The global dimension of Schur algebras for \(\text{GL}_2\) and \(\text{GL}_3\) ⋮ HOMOMORPHISMS AND HIGHER EXTENSIONS FOR SCHUR ALGEBRAS AND SYMMETRIC GROUPS ⋮ Cohomology and generic cohomology of Specht modules for the symmetric group. ⋮ Homomorphisms between Weyl modules for $\operatorname {SL}_3(k)$ ⋮ Integral \(\mathrm{Ext}^2\) between hook Weyl modules ⋮ Hochschild cohomology of U(sl2) ⋮ On extensions of hook Weyl modules ⋮ The modular Weyl-Kac character formula ⋮ Extensions of modules for \(\text{SL}(2,K)\)

Cites Work

• The submodule structure of certain Weyl modules for groups of type \(A_ n\)
• Cohomology, hyperalgebras, and representations
• Polynomial representations of \(GL_n\)
• The blocks of a semisimple algebraic group
• Ordinary and modular representations of Chevalley groups
• On tilting modules for algebraic groups
• Ext¹for the frobenius kernels of SL₂
• Darstellungen halbeinfacher Gruppen und ihrer Frobenius-Kerne.
• Ext¹for sl₂
• SCHUR ALGEBRAS OF FINITE TYPE
• Unnamed Item
• Unnamed Item

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