Results 141 to 150 of about 1,162,860 (159)

Transition matrices and Pieri-type rules for polysymmetric functions

Algebraic Combinatorics
Asvin G and Andrew O’Desky recently introduced the graded algebra P Λ of polysymmetric functions as a generalization of the algebra Λ
Nicholas A Loehr
exaly   +4 more sources

Equivariant Pieri rules for isotropic Grassmannians [PDF]

Mathematische Annalen, 2015
26 ...
Changzheng Li, Li Changzheng
exaly   +3 more sources

Remarks on the paper “Skew Pieri rules for Hall–Littlewood functions” by Konvalinka and Lauve

Journal of Algebraic Combinatorics, 2013
In a recent paper Konvalinka and Lauve proved several skew Pieri rules for Hall-Littlewood polynomials. In this note we show that q-analogues of these rules are encoded in a q-binomial theorem for Macdonald polynomials due to Lascoux and the ...
Warnaar S Ole, S Ole Warnaar
exaly   +2 more sources

Pieri rules for the K-theory of cominuscule Grassmannians [PDF]

Journal Fur Die Reine Und Angewandte Mathematik, 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 ...
Anders Skovsted Buch
exaly   +3 more sources

Quantum Pieri rules for tautological subbundles

Advances in Mathematics, 2013
28 pages.
Changzheng Li, Naichung Conan Leung
exaly   +4 more sources

A Pieri rule for key polynomials

2021
Key polynomials are nonsymmetric generalizations of Schur polynomials that form a basis of the ring of polynomials. The question regarding the expansion of a product of key polynomials into the key basis is one that is as of yet largely unexplored. We present cancellation-free, multiplicity-free formula for a key polynomial expansion in the special ...
openaire   +1 more source

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.
Manuel Concha, Luc Lapointe
exaly   +3 more sources

Schur Polynomials: New Proof of Pieri's Rule

2023
This study centers on Schur polynomials, which are a linear basis of the ring of symmetric polynomials and have significant applications in representation theory. Our focus is on decreasing operators, which are well-defined for Schur polynomials and determine their product.
openaire   +1 more source

Toward the quantum Pieri rule for

SCIENTIA SINICA Mathematica
Li Changzheng, Song Jiayu
openaire   +1 more source

Pieri and Littlewood–Richardson rules for two rows and cluster algebra structure

Journal of Algebraic Combinatorics, 2016
Sangjib Kim, Semin Yoo
exaly