The nil Hecke ring and cohomology of $G/P$ for a Kac-Moody group $G$

DOI10.1016/0001-8708(86)90101-5zbMath0641.17008OpenAlexW2043626917WikidataQ56813729 ScholiaQ56813729MaRDI QIDQ1100544

Publication date: 1986

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0001-8708(86)90101-5

zbMATH Keywords

Weyl group Kac-Moody algebra Cartan subalgebra Borel subalgebra parabolic subalgebra cohomology ring Schubert cell Hecke-type operators nil Hecke ring

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Grassmannians, Schubert varieties, flag manifolds (14M15) Loop groups and related constructions, group-theoretic treatment (22E67) Cohomology of Lie (super)algebras (17B56) Homology and cohomology of homogeneous spaces of Lie groups (57T15)

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Cites Work

The nil Hecke ring and cohomology of \(G/P\) for a Kac-Moody group \(G\)