Results 31 to 40 of about 826,707 (164)
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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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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Factorizations of Pieri rules for Macdonald polynomials
Discrete Mathematics, 1995 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Adriano M. Garsia, Mark D. Haiman
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Pieri Type Rules and GL(2|2) Tensor Products [PDF]
Algebras and Representation Theory, 2020 AbstractWe derive a closed formula for the tensor product of a family of mixed tensors using Deligne’s interpolating category $\underline {Rep}(GL_{0})$ R e p ̲ (
Thorsten Heidersdorf, Rainer Weissauer
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An explicit description of Pieri inclusions. [PDF]
, 2020 By the Pieri rule, the tensor product of an exterior power and a finite-dimensional irreducible representation of a general linear group has a multiplicity-free decomposition.
Miller, John Anderson, II, 1991-
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, 2021 Let $R$ be a commutative ring and $n\geq1$ and $p\geq0$ two integers. Let $h_{k,\ i}$ be an element of $R$ for all $k\in\mathbb Z$ and $i\in [n]$. For any $α\in\mathbb Z^n$, we define \[ t_α:=\det\begin{pmatrix} h_{α_1+1,\ 1} & h_{α_1+2,\ 1} & \cdots & h_{α_1+n,\ 1}\\ h_{α_2+1,\ 2} & h_{α_2+2,\ 2} & \cdots & h_{α_2+n,\ 2 ...
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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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The Electronic Journal of Combinatorics, 2018 The classical Pieri formula gives a combinatorial rule for decomposing the product of a Schur function and a complete homogeneous symmetric polynomial as a linear combination of Schur functions with integer coefficients. We give a Pieri rule for describing the product of an orthosymplectic character and an orthosymplectic character arising from a one ...
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A Schur-Like Basis of NSym Defined by a Pieri Rule [PDF]
The Electronic Journal of Combinatorics, 2014 Recent research on the algebra of non-commutative symmetric functions and the dual algebra of quasi-symmetric functions has explored some natural analogues of the Schur basis of the algebra of symmetric functions. We introduce a new basis of the algebra of non-commutative symmetric functions using a right Pieri rule. The commutative image of an element
John Maxwell Campbell +4 more
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Some new applications of the Stanley-Macdonald Pieri rules [PDF]
, 2016 In a seminal paper Richard Stanley derived Pieri rules for the Jack symmetric function basis. These rules were extended by Macdonald to his now famous symmetric function basis. The original form of these rules had a forbidding complexity that made them difficult to use in explicit calculations.
Garsia, A. M. +3 more
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