Results 21 to 30 of about 826,707 (164)
Super-Schur polynomials for Affine Super Yangian Y( gl ̂ $$ \hat{\mathfrak{gl}} $$ 1|1)
Journal of High Energy Physics, 2023 We explicitly construct cut-and-join operators and their eigenfunctions — the Super-Schur functions — for the case of the affine super-Yangian Y( gl ̂ $$ \hat{\mathfrak{gl}} $$ 1|1).
Dmitry Galakhov +2 more
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Quasisymmetric and noncommutative skew Pieri rules [PDF]
Advances in Applied Mathematics, 2018 18 pages, final version to appear in Adv.
Vasu Tewari, Stephanie van Willigenburg
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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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Pieri rules for Schur functions in superspace [PDF]
Journal of Combinatorial Theory, Series A, 2015 The Schur functions in superspace $s_\Lambda$ and $\overline{s}_\Lambda$ are the limits $q=t= 0$ and $q=t=\infty$ respectively of the Macdonald polynomials in superspace. We present the elementary properties of the bases $s_\Lambda$ and $\overline{s}_\Lambda$ (which happen to be essentially dual) such as Pieri rules, dualities, monomial expansions ...
Miles Eli Jones, Luc Lapointe
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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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Equivariant Pieri rules for isotropic Grassmannians [PDF]
Mathematische Annalen, 2015 26 ...
Li, Changzheng, Ravikumar, Vijay
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Skew Pieri rules for Hall–Littlewood functions [PDF]
Journal of Algebraic Combinatorics, 2012 We produce skew Pieri Rules for Hall–Littlewood functions in the spirit of Assaf and McNamara (FPSAC, 2010). The first two were conjectured by the first author (FPSAC, 2011). The key ingredients in the proofs are a q-binomial identity for skew partitions that are horizontal strips and a Hopf algebraic identity that expands products of skew elements in ...
Konvalinka, Matjaž, Lauve, Aaron
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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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Quantum cohomology of the odd symplectic Grassmannian of lines [PDF]
, 2013 Odd symplectic Grassmannians are a generalization of symplectic Grassmannians to odd-dimensional spaces. Here we compute the classical and quantum cohomology of the odd symplectic Grassmannian of lines.
Pech, Clelia
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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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