Results 31 to 40 of about 5,879 (145)
The Pieri Rule for Dual Immaculate Quasi-Symmetric Functions [PDF]
Annals of Combinatorics, 2016 14 pages, corrections from v1 and ...
Bergeron, Nantel +2 more
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Symmetric Grothendieck polynomials, skew Cauchy identities, and dual filtered Young graphs
, 2016 Symmetric Grothendieck polynomials are analogues of Schur polynomials in the K-theory of Grassmannians. We build dual families of symmetric Grothendieck polynomials using Schur operators.
Christian Ducho (2023807) +7 more
core +5 more sources
Macdonald's Evaluation Conjectures, Difference Fourier Transform, and Applications
, 1995 This paper contains the proof of Macdonald's duality and evaluation conjectures, the definition of the difference Fourier transform, the recurrence theorem generalizing Pieri rules, and the action of GL(2,Z) on the Macdonald polynomials at roots of unity.
Cherednik, Ivan
core +2 more sources
British Journal of Clinical Pharmacology, EarlyView.Abstract Aims This work assessed the pharmacokinetics (PK), safety and tolerability of glasmacinal (EP395, an oral anti‐inflammatory macrolide with negligible antimicrobial activity in development for COPD treatment) in two healthy participant trials: ‘first‐in‐human’ (FIH) and ‘drug–drug‐interaction’ (DDI).
Dave Singh +5 more
wiley +1 more source
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"
openaire +2 more sources
Bio‐inspired nanophotonics: Structural color, chirality, and resonance metasurfaces
InfoMat, EarlyView.A butterfly‐wing‐inspired anisotropic plasmonic flatband resonant metasurface. Insets, photo of the butterfly, Sasakia charonda, and the SEM image of its wing scale (above); the SEM image of the metasurface (below). Abstract The dazzling colors of butterfly wings and hummingbird feathers are not painted with pigments, but crafted by nature's invisible ...
Weihan Liu, Yao Liang, Din Ping Tsai
wiley +1 more source
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. This makes it possible to extend the formulation ofthe Kostka–Foulkes polynomials in terms of solvable lattice models by Nakayashiki and Yamada to the affine setting.
Jennifer Morse, Anne Schilling
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International Journal of Mechanical System Dynamics, EarlyView.ABSTRACT Understanding the dynamic behavior of structural components is crucial for optimizing performance and ensuring structural integrity. This study presents a new method that combines a systematic experimental investigation of four distinct hole geometries (circular, square, compact rectangular, and long rectangular) with varying hole counts, all ...
Amir Hossein Rabiee +3 more
wiley +1 more source
Equivariant Pieri Rule for the homology of the affine Grassmannian [PDF]
Journal of Algebraic Combinatorics, 2012 20 ...
Lam, Thomas, Shimozono, Mark
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An Equivariant Quantum Pieri Rule for the Grassmannian on Cylindric Shapes
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
openaire +4 more sources