Irreducible characters of semisimple Lie groups. III: Proof of Kazhdan-Lusztig conjecture in the integral case
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Publication:1835998
DOI10.1007/BF01389104zbMath0505.22016OpenAlexW2081893527WikidataQ115393631 ScholiaQ115393631MaRDI QIDQ1835998
Publication date: 1983
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/142996
highest weight modulesLie algebra homologylocalization theoryinfinitesimal characterirreducible Harish-Chandra modules
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Intersection homology. II
- Irreducible characters of semisimple Lie groups. IV: Character - multiplicity duality
- Singularities of closures of K-orbits on flag manifolds
- Irreducible characters of semisimple Lie groups. II: The Kazhdan-Lusztig conjectures
- Reducibility of generalized principal series representations
- Kazhdan-Lusztig conjecture and holonomic systems
- Representations of Coxeter groups and Hecke algebras
- The orbits of affine symmetric spaces under the action of minimal parabolic subgroups
- Irreducible characters of semisimple Lie groups. I
- On holonomic systems of microdifferential equations. III: Systems with regular singularities