Results 11 to 20 of about 234 (130)
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
Enright, Thomas J. +2 more
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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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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
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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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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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Bernstein operators for universal characters and symplectic universal characters
Nuclear Physics BThis paper focuses on the construction of the Bernstein operators for universal characters and symplectic universal characters. By carrying out the action of a series of Bernstein operators on the constant function 1, universal characters and symplectic ...
Denghui Li, Zhaowen Yan
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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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The Pieri Rule for GL n Over Finite Fields [PDF]
, 2020 The Pieri rule gives an explicit formula for the decomposition of the tensor product of irreducible representation of the complex general linear group GL(n,C) with a symmetric power of the standard representation on C^n. It is an important and long understood special case of the Littlewood-Richardson rule for decomposing general tensor products of ...
Gurevich, S., Howe, R.
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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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