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Double eta polynomials and equivariant Giambelli formulas
Author(s) -
Tamvakis Harry
Publication year - 2016
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/jdw032
Subject(s) - mathematics , equivariant map , pure mathematics , orthogonal polynomials , cohomology , torus , macdonald polynomials , equivariant cohomology , algebra over a field , discrete orthogonal polynomials , classical orthogonal polynomials , combinatorics , geometry
We use Young's raising operators to introduce and study double eta polynomials , which are an even orthogonal analogue of Wilson's double theta polynomials. Our double eta polynomials give Giambelli formulas which represent the equivariant Schubert classes in the torus‐equivariant cohomology ring of even orthogonal Grassmannians, and specialize to the single eta polynomials of Buch, Kresch, and the author.

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