Results 1 to 10 of about 7,082 (154)
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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Skew quantum Murnaghan-Nakayama rule [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 In this extended abstract, we extend recent results of Assaf and McNamara, the skew Pieri rule and the skew Murnaghan-Nakayama rule, to a more general identity, which gives an elegant expansion of the product of a skew Schur function with a quantum power
Matjaž Konvalinka
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Pieri rules for the K-theory of cominuscule Grassmannians [PDF]
Journal für die reine und angewandte Mathematik (Crelles Journal), 2012 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 for orthogonal Grassmannians it proves a special case of a conjectural Littlewood-Richardson rule ...
Buch, Anders Skovsted, Ravikumar, Vijay
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Tower diagrams and Pieri’s rule [PDF]
Discrete Mathematics, 2018 Comment: 19 ...
Olcay Coşkun, Müge Taşkın
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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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International Mathematics Research Notices, 2015 The Pieri rule is an important theorem which explains how the operators e_k of multiplication by elementary symmetric functions act in the basis of Schur functions s_lambda. In this paper, for any rational number m/n, we study the relationship between the rational version e_k^{m/n} of the operators (given by the elliptic Hall algebra) and the "rational"
Neguţ, Andrei
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Quantum Pieri rules for isotropic Grassmannians [PDF]
Inventiones mathematicae, 2009 59 pages, LaTeX, 6 ...
Buch, A S, Kresch, A, Tamvakis, H
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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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Affine insertion and Pieri rules for the affine Grassmannian [PDF]
Memoirs of the American Mathematical Society, 2010 98 ...
Lam, Thomas +3 more
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Quasisymmetric Schur functions [PDF]
Discrete Mathematics & Theoretical Computer Science, 2008 We introduce a new basis for the algebra of quasisymmetric functions that naturally partitions Schur functions, called quasisymmetric Schur functions.
James Haglund +3 more
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