The submodule structure of certain Weyl modules for groups of type \(A_ n\)
From MaRDI portal
Publication:1065935
DOI10.1016/0021-8693(85)90109-7zbMath0577.20031OpenAlexW1997504131MaRDI QIDQ1065935
Publication date: 1985
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0021-8693(85)90109-7
hyperalgebrafundamental weightsdual Weyl modules of highest weightsimply-connected group of type \(A_ n\)submodule structure
Linear algebraic groups over arbitrary fields (20G15) Representation theory for linear algebraic groups (20G05) Affine algebraic groups, hyperalgebra constructions (14L17)
Related Items
Weyl modules and the mod 2 Steenrod algebra, \(\text{Ext}^ 1\) for Weyl modules of \(\text{SL}_ 2(K)\), Invariant subspaces of the ring of functions on a vector space over a finite field, Fixed-point functors for symmetric groups and Schur algebras., On the Ext groups between Weyl modules for \(\text{GL}_n\)., The lattice of submodules of a multiplicity-free module, \(\operatorname{SL}_2\) representations and relative property (T), Metabelian Lie powers of the natural module for a general linear group, Truncated symmetric powers and modular representations of GLn, On the cohomology of line bundles over certain flag schemes. II, Reduced symmetric powers of natural realizations of the groups \(SL_ m(P)\) and \(Sp_ m(P)\) and their restrictions to subgroups, On the submodules and composition factors of certain induced modules for groups of type \(C_ n\), On comparison of \(M\)-, \(G\)-, and \(S\)-representations, The composition factors of \(F_ p[x_ 1, x_ 2, x_ 3\) as a \(GL(3, p)\)-module], Quadratic residue codes in their prime, On the modular McKay graph of \(\mathrm{SL}_n(p)\) with respect to its standard representation, On the cohomology of Young modules for the symmetric group., The module structure of a group action on a polynomial ring: A finiteness theorem, On the cohomology of line bundles over certain flag schemes, Cohomology and generic cohomology of Specht modules for the symmetric group., The module structure of a group action on a polynomial ring, On Schur algebras, Ringel duality and symmetric groups.
Cites Work
