Results 1 to 10 of about 826,707 (164)
Pieri rule for the affine flag variety [PDF]
Discrete Mathematics & Theoretical Computer Science, 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 ...
Seung Jin Lee
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Affine charge and the $k$-bounded Pieri rule [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 We provide a new description of the Pieri rule of the homology of the affine Grassmannian and an affineanalogue of the charge statistics in terms of bounded partitions.
Jennifer Morse, Anne Schilling
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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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Affine Pieri rule for periodic Macdonald spherical functions and fusion rings [PDF]
Advances in Mathematics, 2021 Let gˆ be an untwisted affine Lie algebra or the twisted counterpart thereof (which excludes the affine Lie algebras of type BCˆn=A2n(2)). We present an affine Pieri rule for a basis of periodic Macdonald spherical functions associated with gˆ.
van Diejen, J.F. (author) +2 more
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An Equivariant Quantum Pieri Rule for the Grassmannian on Cylindric Shapes [PDF]
The Electronic Journal of Combinatorics, 2022 The quantum cohomology ring of the Grassmannian is determined by the quantum Pieri rule for multiplying by Schubert classes indexed by row or column-shaped partitions. We provide a direct equivariant generalization of Postnikov's quantum Pieri rule for the Grassmannian in terms of cylindric shapes, complementing related work of Gorbounov and Korff in ...
Bertiger, Anna +3 more
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Tower diagrams and Pieri’s rule [PDF]
Discrete Mathematics, 2018 19 ...
Olcay Coşkun
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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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Equivariant Pieri Rule for the homology of the affine Grassmannian [PDF]
Journal of Algebraic Combinatorics, 2012 20 ...
Thomas Lam, Mark Masami Shimozono
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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.
C Bowman
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A Pieri rule for Hermitian symmetric pairs I [PDF]
Pacific Journal of Mathematics, 2004 Let \((G,K)\) be a Hermitian symmetric pair, and let \(\mathfrak g\supset\mathfrak k\) denote the corresponding complexified Lie algebra. Then \(\mathfrak k = \mathbb C H\oplus [\mathfrak k,\mathfrak k]\), where \(\text{ad}\,H\) has the eigenvalues \(-1,0,1\) on \(\mathfrak g\). Let \(\mathfrak g = \mathfrak p^-\oplus\mathfrak k\oplus\mathfrak p^+\) be
Markus Hunziker +2 more
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