Pieri formula for \(SO_{2n+1}/U_ n\) and \(Sp_ n/U_ n\)

DOI10.1016/0001-8708(86)90087-3zbMath0611.14036OpenAlexW1993083418MaRDI QIDQ1087607

Brian D. Boe, Howard L. Hiller

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)90087-3

zbMATH Keywords

Pieri formulaclasses of Schubert cycles

Mathematics Subject Classification ID

Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Enumerative problems (combinatorial problems) in algebraic geometry (14N10) Classical groups (algebro-geometric aspects) (14L35)

Related Items

Schubert classes in the equivariant cohomology of the Lagrangian Grassmannian, Quantum cohomology rings of Lagrangian and orthogonal Grassmannians and total positivity, The Cartan matrix and enumerative calculus, Schubert calculus and singularity theory, An identity involving symmetric polynomials and the geometry of Lagrangian Grassmannians, Quantum Pieri rules for tautological subbundles, The integral homology and cohomology rings of \(SO(n)\) and Spin\((n)\), Giambelli, Pieri, and tableau formulas via raising operators, Embedding pointed curves in \(K3\) surfaces, Schubert polynomials, the Bruhat order, and the geometry of flag manifolds, Positivity determines the quantum cohomology of Grassmannians, A bound for canonical dimension of the (semi)spinor groups, An action of the cactus group on shifted tableau crystals, A Pieri-type formula for isotropic flag manifolds, SchurQ-functions and cohomology of isotropic Grassmannians, Gromov-Witten invariants on Grassmannians, Operator calculus for \(\widetilde{Q}\)-polynomials and Schubert polynomials, Littlewood-Richardson rules for Grassmannians, Quantum Pieri rules for isotropic Grassmannians, Enumerative geometry of degeneracy loci, Transition equations for isotropic flag manifolds., ALGORITHM FOR MULTIPLYING SCHUBERT CLASSES, Mario Pieri and his contributions to geometry and foundations of mathematics, Pieri type formula for isotropic Grassmannians; the operator approach

Cites Work

• Schubert calculus of a Coxeter group
• Combinatorics and intersections of Schubert varieties
• Invariants symétriques entiers des groupes de Weyl et torsion
• Désingularisation des variétés de Schubert généralisées
• SCHUBERT CELLS AND COHOMOLOGY OF THE SPACESG/P
• Invariants of Finite Groups Generated by Reflections
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