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- W2129126080 abstract "Noncommutative symmetric functions have many properties analogous to those of classical (commutative) symmetric functions. For instance, ribbon Schur functions (analogs of the classical Schur basis) expand positively in noncommutative monomial basis. More of the classical properties extend to noncommutative setting as I will demonstrate introducing a new family of noncommutative symmetric functions, depending on one parameter. It seems to be an appropriate noncommutative analog of the Hall-Littlewood polynomials. Les fonctions symétriques non commutatives ont de nombreuses propriétés analogues à celles des fonctions symétriques classiques (commutatives). Par exemple, les fonctions de Schur en rubans (analogues de la base de Schur classique) admettent des développements à coefficients positifs dans la base des monômes non commutatifs. La plupart des propriétés classiques s'étendent au cas non commutatif, comme je le montrerai en introduisant une nouvelle famille de fonctions symétriques non commutatives, dépendant d'un paramètre. Cette famille semble être un analogue non commutatif approprié de la famille des polynômes de Hall-Littlewood." @default.
- W2129126080 created "2016-06-24" @default.
- W2129126080 creator A5063422166 @default.
- W2129126080 date "2011-01-01" @default.
- W2129126080 modified "2023-09-24" @default.
- W2129126080 title "Noncommutative Symmetric Hall-Littlewood Polynomials" @default.
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- W2129126080 doi "https://doi.org/10.46298/dmtcs.2964" @default.
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