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Skew Pieri Rules for Hall-Littlewood Functions [PDF]
Discrete Mathematics & Theoretical Computer Science, 2012 We produce skew Pieri Rules for Hall–Littlewood functions in the spirit of Assaf and McNamara (FPSAC, 2010). The first two were conjectured by the first author (FPSAC, 2011). The key ingredients in the proofs are a q-binomial identity for skew partitions
Matjaž Konvalinka, Aaron Lauve
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Kraskiewicz-Pragacz modules and Pieri and dual Pieri rules for Schubert polynomials [PDF]
Discrete Mathematics & Theoretical Computer Science, 2020 In their 1987 paper Kraskiewicz and Pragacz defined certain modules, which we call KP modules, over the upper triangular Lie algebra whose characters are Schubert polynomials.
Masaki Watanabe
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Quantum Pieri rules for isotropic Grassmannians [PDF]
Inventiones mathematicae, 2008 We study the three point genus zero Gromov-Witten invariants on the Grassmannians which parametrize non-maximal isotropic subspaces in a vector space equipped with a nondegenerate symmetric or skew-symmetric form.
A. Bertram +21 more
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Pieri rules for Schur functions in superspace [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 The Schur functions in superspace $s_\Lambda$ and $\overline{s}_\Lambda$ are the limits $q=t= 0$ and $q=t=\infty$ respectively of the Macdonald polynomials in superspace.
Miles Eli Jones, Luc Lapointe
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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 ...
Lee, Seung Jin
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Equivariant Pieri rules for isotropic Grassmannians [PDF]
Mathematische Annalen, 2015 26 ...
Li, Changzheng, Ravikumar, Vijay
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Pieri rules for the K-theory of cominuscule Grassmannians [PDF]
Journal für die reine und angewandte Mathematik (Crelles Journal), 2010 We prove Pieri formulas for the multiplication with special Schubert classes in the K-theory of all cominuscule Grassmannians. For Grassmannians of type A this gives a new proof of a formula of Lenart. Our formula is new for Lagrangian Grassmannians, and
Anders Skovsted, Buch, Vijay Ravikumar
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Affine insertion and Pieri rules for the affine Grassmannian [PDF]
Memoirs of the American Mathematical Society, 2007 We study combinatorial aspects of the Schubert calculus of the affine Grassmannian Gr associated with SL(n,C). Our main results are: 1) Pieri rules for the Schubert bases of H^*(Gr) and H_*(Gr), which expresses the product of a special Schubert class and
Lam, Thomas +3 more
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Tower diagrams and Pieri’s rule [PDF]
Discrete Mathematics, 2018 Comment: 19 ...
Olcay Coşkun, Müge Taşkın
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Enumeration of Cylindric Plane Partitions [PDF]
Discrete Mathematics & Theoretical Computer Science, 2012 Cylindric plane partitions may be thought of as a natural generalization of reverse plane partitions. A generating series for the enumeration of cylindric plane partitions was recently given by Borodin.
Robin Langer
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