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- W4299650460 abstract "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 symmetric functions indexed by atomic partitions. On the other hand, Bergeron, Reutenauer, Rosas, and Zabrocki studied another free generating set of $mathrm{NCSym}$ consisting of monomial symmetric functions indexed by unsplitable partitions. Can and Sagan raised the question of finding a bijection between atomic partitions and unsplitable partitions. In this paper, we provide such a bijection." @default.
- W4299650460 created "2022-10-02" @default.
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- W4299650460 date "2010-09-03" @default.
- W4299650460 modified "2023-09-28" @default.
- W4299650460 title "A Bijection between Atomic Partitions and Unsplitable Partitions" @default.
- W4299650460 doi "https://doi.org/10.48550/arxiv.1009.0661" @default.
- W4299650460 hasPublicationYear "2010" @default.
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