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- Title
Two Murnaghan-Nakayama Rules in Schubert Calculus.
- Authors
Morrison, Andrew; Sottile, Frank
- Abstract
The Murnaghan-Nakayama rule expresses the product of a Schur function with a Newton power sum in the basis of Schur functions. We establish a version of the Murnaghan- Nakayama rule for Schubert polynomials and a version for the quantum cohomology ring of the Grassmannian. These rules compute all intersections of Schubert cycles with tautological classes coming fromthe Chern character. Like the classical rule, both rules are multiplicity-free signed sums.
- Subjects
MURNAGHAN equation; CALCULUS; POLYNOMIALS; COHOMOLOGY theory; QUANTUM rings
- Publication
Annals of Combinatorics, 2018, Vol 22, Issue 2, p363
- ISSN
0218-0006
- Publication type
Article
- DOI
10.1007/s00026-018-0387-z