scientific article; zbMATH DE number 1494185
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Publication:4497338
zbMath0987.20022MaRDI QIDQ4497338
Publication date: 19 March 2002
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tilting modulestensor productsquantum groupsreductive algebraic groupsChevalley groupsFrobenius splittingsgood filtrations
Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Representations of finite symmetric groups (20C30) Representation theory for linear algebraic groups (20G05)
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Reductive embeddings are Cohen-Macaulay ⋮ Projective functors for algebraic groups. ⋮ Algebraic representations and constructible sheaves ⋮ Embeddings of spherical homogeneous spaces in characteristic \(p\) ⋮ Character formulae and a realization of tilting modules for \(\mathfrak{sl}_2 [t\)] ⋮ Multiplicities of second cell tilting modules. ⋮ Wahl's conjecture holds in odd characteristics for symplectic and orthogonal Grassmannians ⋮ On the Humphreys conjecture on support varieties of tilting modules ⋮ From Hopf Algebras to Tensor Categories ⋮ Character formulas of irreducible representations of the symplectic group in prime characteristic ⋮ A random walk on the indecomposable summands of tensor products of modular representations of \(SL_2\left ({\mathbb{F}_p}\right )\)
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