内容

目次

Group schemes and representations; Induction and injective modules;Cohomology; Quotients and associated sheaves; Factor groups; Algebras ofdistributions; Representations of finite algebraic groups; Representations ofFrobenius kernels; Reduction mod sps; Simple sGs-modules; Irreduciblerepresentations of the Frobenius kernels; Kempf's vanishing theorem; TheBorel-Bott-Weil theorem and Weyl's character formula; The linkage principle;The translation functors; Filtrations of Weyl modules; Representations of sGrTs and sG rBs; Geometric reductivity and other applications of the Steinbergmodules; Injective sG rs-modules; Cohomology of the Frobenius kernels;Schubert schemes; Line bundles on Schubert schemes; Truncated categories andSchur algebras; Results over the integers; Lusztig's conjecture and someconsequences; Radical filtrations and Kazhdan-Lusztig polynomials; Tiltingmodules; Frobenius splitting; Frobenius splitting and good filtrations;Representations of quantum groups; References; List of notations; Index;Group schemes and representations; Induction and injective modules;Cohomology; Quotients and associated sheaves; Factor groups; Algebras ofdistributions; Representations of finite algebraic groups; Representations ofFrobenius kernels; Reduction mod sps; Simple sGs-modules; Irreduciblerepresentations of the Frobenius kernels; Kempf's vanishing theorem; TheBorel-Bott-Weil theorem and Weyl's character formula; The linkage principle;The translation functors; Filtrations of Weyl modules; Representations of sGrTs and sG rBs; Geometric reductivity and other applications of the Steinbergmodules; Injective sG rs-modules; Cohomology of the Frobenius kernels;Schubert schemes; Line bundles on Schubert schemes; Truncated categories andSchur algebras; Results over the integers; Lusztig's conjecture and someconsequences; Radical filtrations and Kazhdan-Lusztig polynomials; Tiltingmodules; Frobenius splitting; Frobenius splitting and good filtrations;Representations of quantum groups; References; List of notations; Index