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Row-strict quasisymmetric Schur functions [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2011
Haglund, Luoto, Mason, and van Willigenburg introduced a basis for quasisymmetric functions called the $\textit{quasisymmetric Schur function basis}$ which are generated combinatorially through fillings of composition diagrams in much the same way as ...
Sarah K Mason, Jeffrey Remmel
doaj   +4 more sources

The Murnaghan―Nakayama rule for k-Schur functions [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2011
We prove a Murnaghan–Nakayama rule for k-Schur functions of Lapointe and Morse. That is, we give an explicit formula for the expansion of the product of a power sum symmetric function and a k-Schur function in terms of k-Schur functions.
Jason Bandlow   +2 more
doaj   +3 more sources

Number of standard strong marked tableaux [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2013
Many results involving Schur functions have analogues involving $k-$Schur functions. Standard strong marked tableaux play a role for $k-$Schur functions similar to the role standard Young tableaux play for Schur functions.
Susanna Fishel, Matjaž Konvalinka
doaj   +1 more source

Quasisymmetric Schur functions [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2008
We introduce a new basis for the algebra of quasisymmetric functions that naturally partitions Schur functions, called quasisymmetric Schur functions.
James Haglund   +3 more
doaj   +1 more source

Brauer-Schur functions [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2009
A new class of functions is studied. We define the Brauer-Schur functions $B^{(p)}_{\lambda}$ for a prime number $p$, and investigate their properties.
Kazuya Aokage
doaj   +1 more source

Quasisymmetric (k,l)-hook Schur functions [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2014
We introduce a quasisymmetric generalization of Berele and Regev's hook Schur functions and prove that these new quasisymmetric hook Schur functions decompose the hook Schur functions in a natural way.
Sarah Mason, Elizabeth Niese
doaj   +1 more source

A Note on Generalized Strongly p-Convex Functions of Higher Order

open access: yesCauchy: Jurnal Matematika Murni dan Aplikasi, 2022
Generalized strongly -convex functions of higher order is a new concept of convex functions which introduced by Saleem et al. in 2020. The Schur type inequality for generalized strongly -convex functions of higher order also studied by them.
Corina Karim, Ekadion Maulana
doaj   +1 more source

Affine Yangian and 3-Schur functions

open access: yesNuclear Physics B, 2020
3D (3 dimensional) Young diagram is a generalization of 2D Young diagram. In this paper, from the orthogonality of 3D Young diagrams and the properties in affine Yangian and its MacMahon representation, we obtain the Schur functions corresponding to 3D ...
Na Wang
doaj   +1 more source

Schubert polynomials and $k$-Schur functions (Extended abstract) [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2013
The main purpose of this paper is to show that the multiplication of a Schubert polynomial of finite type $A$ by a Schur function can be understood from the multiplication in the space of dual $k$-Schur functions. Using earlier work by the second author,
Carolina Benedetti, Nantel Bergeron
doaj   +1 more source

Aggregating distributed energy resources for grid flexibility services: A distributed game theoretic approach

open access: yesInternational Journal of Robust and Nonlinear Control, EarlyView., 2023
Abstract We propose a hierarchical energy management scheme for aggregating Distributed Energy Resources (DERs) for grid flexibility services. To prevent a direct participation of numerous prosumers in the wholesale electricity market, aggregators, as self‐interest agents in our scheme, incentivize prosumers to provide flexibility. We firstly model the
Xiupeng Chen   +3 more
wiley   +1 more source

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