Schur functions in noncommuting variables

F Aliniaeifard, SX Li, S van Willigenburg - Advances in Mathematics, 2022 - Elsevier
Abstract In 2004 Rosas and Sagan asked whether there was a way to define a basis in the
algebra of symmetric functions in noncommuting variables, NCSym, having properties …

Symmetric polynomials in free associative algebras

S Boumova, V Drensky… - Turkish Journal of …, 2022 - journals.tubitak.gov.tr
By a result of Margarete Wolf in 1936, we know that the algebra $ K\langle X_d\rangle^{Sym
(d)} $ of symmetric polynomials in noncommuting variables is not finitely generated. In 1984 …

[HTML][HTML] Chromatic symmetric functions in noncommuting variables revisited

S Dahlberg, S van Willigenburg - Advances in Applied Mathematics, 2020 - Elsevier
In 1995 Stanley introduced a generalization of the chromatic polynomial of a graph G, called
the chromatic symmetric function, XG, which was generalized to noncommuting variables …

A bijection between atomic partitions and unsplitable partitions

WYC Chen, TXS Li, DGL Wang - arXiv preprint arXiv:1009.0661, 2010 - arxiv.org
In the study of the algebra $\mathrm {NCSym} $ of symmetric functions in noncommutative
variables, Bergeron and Zabrocki found a free generating set consisting of power sum …

Set partitions and integrable hierarchies

VE Adler - Theoretical and Mathematical Physics, 2016 - Springer
SET PARTITIONS AND INTEGRABLE HIERARCHIES 1. Introduction Page 1 Theoretical
and Mathematical Physics, 187(3): 842–870 (2016) SET PARTITIONS AND INTEGRABLE …

[PDF][PDF] Faculty of Mathematics and Informatics

DZ Dzhundrekov - 2024 - uni-sofia.bg
Invariant theory is a branch of abstract algebra, which, broadly speaking, studies objects that
remain unchanged under linear transformations. Its origin can be traced to the works of …

Symmetric functions in noncommuting variables in superspace

D Arcis, C González, S Márquez - arXiv e-prints, 2023 - ui.adsabs.harvard.edu
Abstract In 2004, Rosas and Sagan developed the theory of symmetric functions in
noncommuting variables, achieving results analogous to classical symmetric functions. On …

On atomic and unsplitable endofunctions

TX Li - Semigroup Forum, 2020 - Springer
In the study of a cocommutative Hopf algebra PFSym built on parking functions, the author
presented two free generating sets of PFSym which are indexed by atomic parking functions …

[PDF][PDF] Chen, William YC (PRC-NNK-PMC); Li, Teresa XS (PRC-NNK-PMC)

DGL Wang - Citeseer
The authors answer a question of MB Can and BE Sagan [Electron. J. Combin. 18 (2011),
no. 2, Paper 3; MR2770133 (2012d: 05056)] by exhibiting a bijection between two types of …

[引用][C] Разбиения множеств и интегрируемые иерархии

ВЭ Адлер - Теоретическая и математическая физика, 2016 - mathnet.ru
В комбинаторике одна из типичных задач–это поиск алгоритмов, позволяющих
генерировать и перечислять все объекты заданного типа. Для нас представляет …