scientific article

zbMath0701.18006MaRDI QIDQ3478586

Brian J. Parshall, Leonard L. Scott, Edward Cline

Publication date: 1989

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

dualityhighest weight categoryperverse sheaveshighest weight modulequasi-hereditary algebraartinian categoryrational G-modules

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Finite rings and finite-dimensional associative algebras (16P10) Linear algebraic groups over arbitrary fields (20G15) Module categories in associative algebras (16D90) Abelian categories, Grothendieck categories (18E10) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47) Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects) (18F20)

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Kazhdan-Lusztig polynomials and character formulae for the Lie superalgebra 𝔤𝔩(𝔪|𝔫) ⋮ Graded decomposition matrices of 𝑣-Schur algebras via Jantzen filtration ⋮ Quantized symplectic oscillator algebras of rank one ⋮ Cellularity of endomorphism algebras of tilting objects ⋮ Projective modules in the category \(\mathcal O\) for the Cherednik algebra. ⋮ Some homological properties of ind-completions and highest weight categories ⋮ Cohomology of infinitesimal quantum groups. I ⋮ On p -filtrations of Weyl modules ⋮ Loewy Series of Certain Indecomposable Modules for Frobenius Subgroups ⋮ The category of modules with good filtrations over a quasi-hereditary algebra has almost split sequences ⋮ Quasi-hereditary structure of twisted split category algebras revisited. ⋮ Deligne categories and the periplectic Lie superalgebra ⋮ Indecomposable representations of special linear Lie superalgebras ⋮ Based algebras and standard bases for quasi-hereditary algebras ⋮ Abstract Kazhdan-Lusztig theories

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