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Some homological properties of category \(\mathcal{O}\). IV (Q2408457)

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Language	Label	Description	Also known as
English	Some homological properties of category \(\mathcal{O}\). IV	scientific article

Statements

scholarly article

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Some homological properties of category \(\mathcal{O}\). IV (English)

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Kevin Coulembier

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Volodymyr Mazorchuk

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Forum Mathematicum

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publication date

12 October 2017

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full work available at URL

https://arxiv.org/abs/1509.04391

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zbMATH Keywords

projective dimension

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graded length

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quasi-hereditary algebra

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parabolic category \(\mathcal{O}\)

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MaRDI profile type

MaRDI publication profile

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Quasi-hereditary extension algebras.

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Twisting functors on 𝒪

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Koszul Duality Patterns in Representation Theory

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A categorification of the Temperley-Lieb algebra and Schur quotients of \(U(\mathfrak{sl}_2)\) via projective and Zuckerman functors

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Structure of representations generated by vectors of highest weight

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Combinatorics of Coxeter Groups

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Representation type of the blocks of category \(\mathcal O_s\)

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Centers of degenerate cyclotomic Hecke algebras and parabolic category 𝒪

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Representations of the General Linear Lie Superalgebra in the BGG Category $$\mathcal{O}$$

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Extensions of Verma Modules

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Equivalence of blocks for the general linear Lie superalgebra

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Filtrations on generalized Verma modules for Hermitian symmetric pairs.

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Primitive ideals, twisting functors and star actions for classical Lie superalgebras

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Dualities and derived equivalences for category \(\mathcal{O}\)

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Extension fullness of the categories of Gelfand-Zeitlin and Whittaker modules

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Some homological properties of category \(\mathcal{O}\). III

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On some geometric aspects of Bruhat orderings. II: The parabolic analogue of Kazhdan-Lusztig polynomials

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Quasi-hereditary algebras

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Diagrams of Hermitian type, highest weight modules, and syzygies of determinantal varieties

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Categories of highest weight modules: applications to classical Hermitian symmetric pairs

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Notes on homological algebra and representations of Lie algebras

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KAZHDAN–LUSZTIG CELLS AND THE MURPHY BASIS

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Monoidal categories and the Gerstenhaber bracket in Hochschild cohomology

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Singular blocks of the category \({\mathcal O}\)

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Representations of Coxeter groups and Hecke algebras

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On Arkhipov's and Enright's functors.

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Parabolic projective functors in type \(A\)

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On the global dimension of quasi–hereditary algebras with triangular decomposition

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Cells in affine Weyl groups. II

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Some homological properties of the category \(\mathcal O\).

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Applications of the category of linear complexes of tilting modules associated with the category \(\mathcal O\)

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Some homological properties of the category 𝒪, II

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Parabolic category O for classical Lie superalgebras

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Cell 2-representations of finitary 2-categories

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Transitive $2$-representations of finitary $2$-categories

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Finitistic dimension of properly stratified algebras.

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Quadratic duals, Koszul dual functors, and applications

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On functors associated to a simple root

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Categorification of (induced) cell modules and the rough structure of generalised Verma modules

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Projective-injective modules, Serre functors and symmetric algebras

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The category of modules with good filtrations over a quasi-hereditary algebra has almost split sequences

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Splitting Criteria for -Modules Induced from a Parabolic and the Bernstein-Gelfand-Gelfand Resolution of a Finite Dimensional, Irreducible -Module

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Koszul duality of translation--and Zuckerman functors

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A reduction method for atypical representations of classical Lie superalgebras.

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Kategorie O , Perverse Garben Und Moduln Uber Den Koinvariantez Zur Weylgruppe

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Category \({\mathcal O}\): gradings and translation functors.

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Category 𝒪: Quivers and endomorphism rings of projectives

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Irreducible characters of semisimple Lie groups. II: The Kazhdan-Lusztig conjectures

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Identifiers

zbMATH Open document ID

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10.1515/forum-2016-0108

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2408457

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