Cohomologie T-équivariante de la variété de drapeaux d'un groupe de Kač-Moody

DOI10.24033/bsmf.2116zbMath0706.57024OpenAlexW178689803MaRDI QIDQ3488157

Alberto Arabia

Publication date: 1989

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=BSMF_1989__117_2_129_0

zbMATH Keywords

equivariant cohomologyBernstein-Gel'fand-Gel'fand operatorsflag manifold of a Kač-Moody groupSchubert manifoldssimple root system

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Homology and cohomology of homogeneous spaces of Lie groups (57T15)

Related Items

A Pieri-type formula for \(H^*_T(SL_n(\mathbb C)/B)\) ⋮ Equivariant Pieri rules for isotropic Grassmannians ⋮ The Cartan matrix and enumerative calculus ⋮ Cohomology rings of the real and oriented partial flag manifolds ⋮ FROM COMPLETE TO PARTIAL FLAGS IN GEOMETRIC EXTENSION ALGEBRAS ⋮ BASES OF -EQUIVARIANT COHOMOLOGY OF BOTT–SAMELSON VARIETIES ⋮ PARABOLIC KAZHDAN–LUSZTIG BASIS, SCHUBERT CLASSES, AND EQUIVARIANT ORIENTED COHOMOLOGY ⋮ Gromov-Witten invariants for $G/B$ and Pontryagin product for $ΩK$ ⋮ On equivariant quantum cohomology of homogeneous spaces: Chevalley formulae and algorithms ⋮ Décompositions dans l'algèbre des différences divisées. (Decompositions in the algebra of divided differences) ⋮ Schubert polynomials for the affine Grassmannian ⋮ Schubert Calculus in Complex Cobordism ⋮ Giambelli formulae for the equivariant quantum cohomology of the Grassmannian ⋮ Classes d'Euler équivariantes et points rationnellement lisses. (Equivariant Euler classes and rationally smooth points.) ⋮ The A-B-C-Ds of Schubert calculus ⋮ Push-pull operators on the formal affine Demazure algebra and its dual ⋮ Poisson harmonic forms, Kostant harmonic forms, and the \(S^1\)-equivariant cohomology of \(K/T\) ⋮ Yang–Baxter algebras, convolution algebras, and Grassmannians

Cites Work

• Zeros d'un champ de vecteurs et classes characteristiques équivariantes
• The moment map and equivariant cohomology
• Cycles de Schubert et cohomologie équivariante de K/T. (Schubert cycles and equivariant cohomology of K/T)
• The nil Hecke ring and cohomology of \(G/P\) for a Kac-Moody group \(G\)
• Sur la cohomologie des espaces fibrés principaux et des espaces homogènes de groupes de Lie compacts
• The nil Hecke ring and cohomology of G/P for a Kac-Moody group G
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item