Moscow Mathematical Journal
Volume 21, Issue 1, January–March 2021 pp. 191–226.
Schubert Polynomials, Theta and Eta Polynomials, and Weyl Group Invariants
We examine the relationship between the (double) Schubert polynomials
of Billey–Haiman and Ikeda–Mihalcea–Naruse and the (double) theta and
eta polynomials of Buch–Kresch–Tamvakis and Wilson from the
perspective of Weyl group invariants. We obtain generators for the
kernel of the natural map from the corresponding ring of Schubert
polynomials to the (equivariant) cohomology ring of symplectic and
orthogonal flag manifolds. 2010 Math. Subj. Class. Primary: 14M15; Secondary: 05E05, 13A50, 14N15.
Authors:
Harry Tamvakis (1)
Author institution:University of Maryland, Department of
Mathematics, William E. Kirwan Hall, 4176 Campus Drive,
College Park, MD 20742, USA (1)
Summary:
Keywords: Schubert polynomials, theta and eta polynomials, Weyl group invariants, flag manifolds, equivariant cohomology.
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