Extensions of modules for \(\text{SL}(2,K)\)

DOI10.1016/S0021-8693(02)00084-4zbMath1014.20018OpenAlexW2114549704MaRDI QIDQ1858173

Maud De Visscher

Publication date: 12 February 2003

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

Full work available at URL: https://doi.org/10.1016/s0021-8693(02)00084-4

zbMATH Keywords

decomposition matricessymmetric powersFrobenius kernelshighest weightsinduced modulescomposition seriesspecial linear groupsextensions of modules

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Cohomology theory for linear algebraic groups (20G10)

Related Items (4)

The Frobenius morphism in invariant theory ⋮ Higher extensions between modules for \(\text{SL}_2\). ⋮ HOMOMORPHISMS AND HIGHER EXTENSIONS FOR SCHUR ALGEBRAS AND SYMMETRIC GROUPS ⋮ Hochschild cohomology of U(sl2)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Cohomology, hyperalgebras, and representations
• Infinitesimal fixed points in modules with good filtration
• \(\text{Ext}^ 1\) for Weyl modules of \(\text{SL}_ 2(K)\)
• Darstellungen halbeinfacher Gruppen und ihrer Frobenius-Kerne.
• Ext¹for sl₂
• Ext1 for Weyl modules for q-GL(2, k)
• On Ext² between Weyl modules for quantum GL_n
• Symmetry for the Enveloping Algebra of a Restricted Lie Algebra
• The global dimension of Schur algebras for \(\text{GL}_2\) and \(\text{GL}_3\)

This page was built for publication: Extensions of modules for \(\text{SL}(2,K)\)