Results 11 to 20 of about 1,162,860 (159)
Pieri rules for skew dual immaculate functions [PDF]
Canadian Mathematical Bulletin, 2022 AbstractIn this paper, we give Pieri rules for skew dual immaculate functions and their recently discovered row-strict counterparts. We establish our rules using a right-action analogue of the skew Littlewood–Richardson rule for Hopf algebras of Lam–Lauve–Sottile. We also obtain Pieri rules for row-strict (dual) immaculate functions.
Elizabeth Niese +3 more
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Pieri Rules for the Jack Polynomials in Superspace and the 6-Vertex Model [PDF]
Annales Henri Poincaré, 2019 We present Pieri rules for the Jack polynomials in superspace. The coefficients in the Pieri rules are, except for an extra determinant, products of quotients of linear factors in $α$ (expressed, as in the usual Jack polynomial case, in terms of certain hook-lengths in a Ferrers' diagram). We show that, surprisingly, the extra determinant is related to
Gatica, Jessica +2 more
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Lattice Diagram Polynomials and Extended Pieri Rules [PDF]
Advances in Mathematics, 1999 77 pages ...
Bergeron, François +4 more
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Pieri rule for the affine flag variety [PDF]
Advances in Mathematics, 2015 We prove the affine Pieri rule for the cohomology of the affine flag variety conjectured by Lam, Lapointe, Morse and Shimozono. We study the cap operator on the affine nilHecke ring that is motivated by Kostant and Kumar’s work on the equivariant cohomology of the affine flag variety. We show that the cap operators for Pieri elements are the same as
Lee, Seung Jin, Seung Jin Lee
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Tower diagrams and Pieri’s rule [PDF]
Discrete Mathematics, 2018 19 ...
Olcay Coskun, Müge Taskin
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A Pieri rule for skew shapes [PDF]
Journal of Combinatorial Theory, Series A, 2010 The Pieri rule expresses the product of a Schur function and a single row Schur function in terms of Schur functions. We extend the classical Pieri rule by expressing the product of a skew Schur function and a single row Schur function in terms of skew Schur functions. Like the classical rule, our rule involves simple additions of boxes to the original
Assaf, Sami H., McNamara, Peter R. W.
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The co-Pieri rule for stable Kronecker coefficients
Journal of Combinatorial Theory, Series A, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Christopher Bowman +2 more
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Quantum cohomology of the odd symplectic Grassmannian of lines [PDF]
, 2013 Odd symplectic Grassmannians are a generalization of symplectic Grassmannians to odd-dimensional spaces. Here we compute the classical and quantum cohomology of the odd symplectic Grassmannian of lines.
Pech, Clelia
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A Pieri rule for Hermitian symmetric pairs II [PDF]
Pacific Journal of Mathematics, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Enright, Thomas J., Wallach, Nolan R.
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Schur Superpolynomials: Combinatorial Definition and Pieri Rule [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2015 Schur superpolynomials have been introduced recently as limiting cases of the Macdonald superpolynomials. It turns out that there are two natural super-extensions of the Schur polynomials: in the limit $q=t=0$ and $q=t\rightarrow\infty$, corresponding respectively to the Schur superpolynomials and their dual.
Blondeau-Fournier, O., Mathieu, P.
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