Results 1 to 10 of about 234 (130)

Symmetry and Pieri rules for the bisymmetric Macdonald polynomials

European Journal of Combinatorics
Bisymmetric Macdonald polynomials can be obtained through a process of antisymmetrization and $t$-symmetrization of non-symmetric Macdonald polynomials. Using the double affine Hecke algebra, we show that the evaluation of the bisymmetric Macdonald polynomials satisfies a symmetry property generalizing that satisfied by the usual Macdonald polynomials.
Luc Lapointe
exaly   +3 more sources

Pieri and Murnaghan–Nakayama type rules for Chern classes of Schubert Cells

Selecta Mathematica, New Series
Neil J Y Fan, Peter L Guo
exaly  

Skew Pieri Rules for Hall-Littlewood Functions [PDF]

Discrete Mathematics & Theoretical Computer Science, 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
Matjaž Konvalinka, Aaron Lauve
doaj   +8 more sources

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.
Masaki Watanabe
doaj   +4 more sources

Pieri rules for Schur functions in superspace [PDF]

Discrete Mathematics & Theoretical Computer Science, 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.
Miles Eli Jones, Luc Lapointe
doaj   +5 more sources

Tower diagrams and Pieri’s rule [PDF]

Discrete Mathematics, 2018
19 ...
Olcay Coskun, Müge Taskin
openaire   +4 more sources

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.
openaire   +3 more sources

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
doaj   +1 more source

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.
openaire   +1 more source

The co-Pieri rule for stable Kronecker coefficients

Journal of Combinatorial Theory, Series A, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Christopher Bowman, M. De Visscher, John Enyang   +2 more
openaire   +2 more sources