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pro vyhledávání: '"Mason, Sarah K"'
Autor:
Allen, Edward E, Mason, Sarah K
We provide a combinatorial formula for the expansion of immaculate noncommutative symmetric functions into complete homogeneous noncommutative symmetric functions. To do this, we introduce generalizations of Ferrers diagrams which we call GBPR diagra
Externí odkaz:
http://arxiv.org/abs/2207.05903
Autor:
Mason, Sarah K., Niese, Elizabeth
Publikováno v:
J.Algebr.Comb 42 (2015) 763--791
Mason and Remmel introduced a basis for quasisymmetric functions known as the row-strict quasisymmetric Schur functions. This basis is generated combinatorially by fillings of composition diagrams that are analogous to the row-strict tableaux that ge
Externí odkaz:
http://arxiv.org/abs/2105.13421
Autor:
Mason, Sarah K.
This article serves as an introduction to several recent developments in the study of quasisymmetric functions. The focus of this survey is on connections between quasisymmetric functions and the combinatorial Hopf algebra of noncommutative symmetric
Externí odkaz:
http://arxiv.org/abs/1810.07148
Autor:
Mason, Sarah K, Niese, Elizabeth
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. We examine the combinatorics of the quasisymmetr
Externí odkaz:
http://arxiv.org/abs/1606.06942
Dual Immaculate Quasisymmetric Functions Expand Positively into Young Quasisymmetric Schur Functions
We describe a combinatorial formula for the coefficients when the dual immaculate quasisymmetric functions are decomposed into Young quasisymmetric Schur functions. We prove this using an analogue of Schensted insertion. Using this result, we give ne
Externí odkaz:
http://arxiv.org/abs/1606.03519
Dual immaculate quasisymmetric functions expand positively into Young quasisymmetric Schur functions
Publikováno v:
In Journal of Combinatorial Theory, Series A July 2018 157:70-108
Autor:
Lauve, Aaron, Mason, Sarah K.
Publikováno v:
In Journal of Combinatorial Theory, Series A 2011 118(5):1661-1673
Autor:
Mason, Sarah K.1 masonsk@wfu.edu, Niese, Elizabeth2 niese@marshall.edu
Publikováno v:
Annals of Combinatorics. Mar2018, Vol. 22 Issue 1, p167-199. 33p.
Akademický článek
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