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- W4226455792 abstract "We introduce new bases for the Hopf algebra of quasisymmetric functions that refine the symmetric powersum basis. These bases are expanded in terms of quasisymmetric monomial functions by using fillings of matrices. We define the analog of these bases in quasisymmetric functions of non-commuting variables. Our new bases have a (shifted) shuffle product and a deconcatenate coproduct. Finally, we describe a change of basis rule from the quasisymmetric powersum basis to the quasisymmetric fundamental basis." @default.
- W4226455792 created "2022-05-05" @default.
- W4226455792 creator A5016663081 @default.
- W4226455792 date "2021-12-26" @default.
- W4226455792 modified "2023-09-24" @default.
- W4226455792 title "Powersum Bases in Quasisymmetric Functions and Quasisymmetric Functions in Non-commuting Variables" @default.
- W4226455792 doi "https://doi.org/10.48550/arxiv.2112.13333" @default.
- W4226455792 hasPublicationYear "2021" @default.
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