Results 21 to 30 of about 7,082 (154)
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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A $t$-generalization for Schubert Representatives of the Affine Grassmannian [PDF]
Discrete Mathematics & Theoretical Computer Science, 2013 We introduce two families of symmetric functions with an extra parameter $t$ that specialize to Schubert representatives for cohomology and homology of the affine Grassmannian when $t=1$.
Avinash J. Dalal, Jennifer Morse
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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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A Pieri rule for skew shapes [PDF]
Journal of Combinatorial Theory, Series A, 2010 The Pieri rule expresses the product of a Schur function and a single row Schur function in terms of Schur functions. We extend the classical Pieri rule by expressing the product of a skew Schur function and a single row Schur function in terms of skew Schur functions. Like the classical rule, our rule involves simple additions of boxes to the original
Assaf, Sami H., McNamara, Peter R. W.
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Quasisymmetric and noncommutative skew Pieri rules [PDF]
Advances in Applied Mathematics, 2018 18 pages, final version to appear in Adv.
Tewari, Vasu +1 more
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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. In a previous work the author showed that the tensor product of Kraskiewicz-Pragacz modules always has KP filtration, i.e.
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A Pieri rule for Hermitian symmetric pairs II [PDF]
Pacific Journal of Mathematics, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Enright, Thomas J., Wallach, Nolan R.
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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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Schubert Polynomials for the affine Grassmannian of the symplectic group [PDF]
, 2009 We study the Schubert calculus of the affine Grassmannian Gr of the symplectic group. The integral homology and cohomology rings of Gr are identified with dual Hopf algebras of symmetric functions, defined in terms of Schur's P and Q-functions.
A. Pressley +17 more
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