Bernstein-Gelfand-Gelfand reciprocity on perverse sheaves

DOI10.24033/asens.1536zbMath0651.14010OpenAlexW192561966WikidataQ110549998 ScholiaQ110549998MaRDI QIDQ3795774

Kari Vilonen, Renato E. Mirollo

Publication date: 1987

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_1987_4_20_3_311_0

zbMATH Keywords

perverse sheavesRiemann-Hilbert correspondanceWhitney stratification

Mathematics Subject Classification ID

Sheaves of differential operators and their modules, (D)-modules (32C38) Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects) (32S60) Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects) (18F20)

Related Items

Unnamed Item, Koszul Duality Patterns in Representation Theory, Ringel duality for perverse sheaves on hypertoric varieties, Brauer-type reciprocity for a class of graded associative algebras, On categories of equivariant \(\mathcal{D}\)-modules, On the quasi-hereditary property for staggered sheaves, Partition algebras., Unnamed Item, Stacks similar to the stack of perverse sheaves, BGG algebras and the BGG reciprocity principle, The decomposition theorem, perverse sheaves and the topology of algebraic maps, WHEN ARE THERE ENOUGH PROJECTIVE PERVERSE SHEAVES?

Cites Work

• The Riemann-Hilbert problem for holonomic systems
• Elementary construction of perverse sheaves
• Kazhdan-Lusztig conjecture and holonomic systems
• Category of \(\mathfrak g\) modules
• Modular representations of classical Lie algebras and semi-simple groups
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