Pieri formula for \(SO_{2n+1}/U_ n\) and \(Sp_ n/U_ n\)
The main results are two generalizations of Pieri's formula to cycles in \(SO_{2n+1}/U_ n\) and \(Sp_ n/U_ n\). Both formulae give the intersection class of a general Schubert cycle with a special Schubert cycle as a linear combination of classes of Schubert cycles. Unlike the classical formula (i.e., for cycles in a grassmannian), the present formulae involve multiplicities which are computed in the paper.
scientific article; zbMATH DE number 3987462
scientific article