A Pieri-type formula for isotropic flag manifolds

DOI10.1090/S0002-9947-02-02946-XzbMath0992.14014arXivmath/9810025OpenAlexW1913678944MaRDI QIDQ2782658

Nantel Bergeron, Frank J. Sottile

Publication date: 8 April 2002

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9810025

zbMATH Keywords

Weyl groupscohomologySchubert varietiesBruhat orderparabolic groupsisotropic flag manifoldsPieri type formulasspecial Schubert classes

Mathematics Subject Classification ID

Related Items (18)

Equivariant Pieri rules for isotropic Grassmannians ⋮ Noncommutative algebras related with Schubert calculus on Coxeter groups ⋮ Pieri rules for the K-theory of cominuscule Grassmannians ⋮ Two Murnaghan-Nakayama rules in Schubert calculus ⋮ Degeneracy loci classes in \(K\)-theory -- determinantal and Pfaffian formula ⋮ The Nash blow-up of a cominuscule Schubert variety ⋮ Cohomological consequences of the pattern map ⋮ Effective good divisibility of rational homogeneous varieties ⋮ Partial orders generalizing the weak order on Coxeter groups ⋮ A simple definition for the universal Grassmannian order ⋮ Quadratic degenerations of odd-orthogonal Schubert varieties ⋮ Root-theoretic Young diagrams and Schubert calculus: planarity and the adjoint varieties ⋮ Quantum Pieri rules for tautological subbundles ⋮ Eigencone, saturation and Horn problems for symplectic and odd orthogonal groups ⋮ A Giambelli formula for isotropic Grassmannians ⋮ The A-B-C-Ds of Schubert calculus ⋮ Noncommutative Pieri operators on posets ⋮ ALGORITHM FOR MULTIPLYING SCHUBERT CLASSES

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