A Pieri-type formula for \(H^*_T(SL_n(\mathbb C)/B)\)

DOI10.1006/jabr.2001.9067zbMath1061.14060OpenAlexW2064666259MaRDI QIDQ1614626

Shawn Robinson

Publication date: 8 September 2002

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.2001.9067

zbMATH Keywords

flag manifoldequivariant cohomologyPieri formuladouble Schubert polynomialsequivariant Schubert structure constants

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) (14F43) Classical problems, Schubert calculus (14N15)

Related Items (14)

Equivariant Pieri rules for isotropic Grassmannians ⋮ An equivariant quantum Pieri rule for the Grassmannian on cylindric shapes ⋮ Schubert classes in the equivariant cohomology of the Lagrangian Grassmannian ⋮ A Molev-Sagan type formula for double Schubert polynomials ⋮ Puzzles and (equivariant) cohomology of Grassmannians ⋮ On equivariant quantum cohomology of homogeneous spaces: Chevalley formulae and algorithms ⋮ On equivariant quantum Schubert calculus for \(G/P\) ⋮ Equivariant Littlewood-Richardson skew tableaux ⋮ Extended quadratic algebra and a model of the equivariant cohomology ring of flag varieties ⋮ Schubert calculus and equivariant cohomology of Grassmannians ⋮ Schubert polynomials and classes of Hessenberg varieties ⋮ Equivariant quantum Schubert calculus ⋮ The A-B-C-Ds of Schubert calculus ⋮ A geometric proof of an equivariant Pieri rule for flag manifolds

Cites Work

• The nil Hecke ring and cohomology of \(G/P\) for a Kac-Moody group \(G\)
• Positivity in equivariant Schubert calculus.
• Kac-Moody groups, their flag varieties and representation theory
• Pieri's formula for flag manifolds and Schubert polynomials
• Kostant polynomials and the cohomology ring for \(G/B\)
• Cohomologie T-équivariante de la variété de drapeaux d'un groupe de Kač-Moody
• Désingularisation des variétés de Schubert généralisées
• SCHUBERT CELLS AND COHOMOLOGY OF THE SPACESG/P
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A Pieri-type formula for \(H^*_T(SL_n(\mathbb C)/B)\)