The classification of blocks in BGG category \(\mathcal{O}\)

DOI10.1007/s00209-019-02376-9zbMath1483.17009arXiv1903.02717OpenAlexW2964403259MaRDI QIDQ2182439

Kevin Coulembier

Publication date: 23 May 2020

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.02717

zbMATH Keywords

Bruhat orderquasi-hereditary algebrasequivalencesBGG category \(\mathcal{O}\)

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Abelian categories, Grothendieck categories (18E10) Simple, semisimple, reductive (super)algebras (17B20)

Related Items

Essential orders on stratified algebras with duality and \(\mathcal{S}\)-subcategories in \(\mathcal{O}\) ⋮ Exact Borel subalgebras of path algebras of quivers of Dynkin type \(\mathbb{A}\) ⋮ Some homological properties of ind-completions and highest weight categories ⋮ Semi-Infinite Highest Weight Categories ⋮ Torsion pairs and Ringel duality for Schur algebras ⋮ All quasihereditary algebras with a regular exact Borel subalgebra

Cites Work

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• Diagrammatic description for the categories of perverse sheaves on isotropic Grassmannians
• Highest weight categories arising from Khovanov's diagram algebra. II: Koszulity
• Whittaker coinvariants for \(\mathrm{GL}(m|n)\)
• When is a cellular algebra quasi-hereditary?
• Cellular algebras
• Combinatorics of Coxeter Groups
• Kategorie O , Perverse Garben Und Moduln Uber Den Koinvariantez Zur Weylgruppe
• Category 𝒪: Quivers and endomorphism rings of projectives
• Koszul Duality Patterns in Representation Theory
• On an infinite limit of BGG categories O
• Homological invariants in category $\mathcal {O}$ for the general linear superalgebra