J
Jean-Yves Thibon
Researcher at University of Paris
Publications - 195
Citations - 6784
Jean-Yves Thibon is an academic researcher from University of Paris. The author has contributed to research in topics: Symmetric function & Noncommutative geometry. The author has an hindex of 42, co-authored 191 publications receiving 6398 citations. Previous affiliations of Jean-Yves Thibon include ESIEE Paris & University of Marne-la-Vallée.
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Journal ArticleDOI
Noncommutative Symmetrical Functions
Israel M. Gelfand,Daniel Krob,Alain Lascoux,Bernard Leclerc,Vladimir Retakh,Jean-Yves Thibon +5 more
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Noncommutative symmetric functions
Israel M. Gelfand,Daniel Krob,Alain Lascoux,Bernard Leclerc,Vladimir Retakh,Jean-Yves Thibon +5 more
TL;DR: A non-commutative theory of symmetric functions, based on the notion of quasi-determinant, was presented in this article, which allows to endow the resulting algebra with a Hopf structure, which leads to a new method for computing in descent algebras.
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Hecke algebras at roots of unity and crystal bases of quantum affine algebras
TL;DR: In this article, a fast algorithm for computing the global crystal basis of the basic Hecke algebras is presented, based on combinatorial techniques which have been developed for dealing with modular representations of symmetric groups.
Journal ArticleDOI
Noncommutative symmetric functions vi: free quasi-symmetric functions and related algebras
TL;DR: This article is devoted to the study of several algebras related to asymmetric functions, which admit linear bases labelled by various combinatorial objects: permutations (free quasi-symmetric functions), standard Young tableaux (free symmetric functions) and packed integer matrices (matrix quasi- Symondsian functions).
Journal ArticleDOI
Noncommutative Symmetric Functions Iv: Quantum Linear Groups andHecke Algebras at {\bi q}\,{\bf =}\,{\bf 0}
Daniel Krob,Jean-Yves Thibon +1 more
TL;DR: In this article, the authors present representation theoretical interpretations of quasi-symmetric functions and noncommutative symmetric functions in terms of quantum linear groups and Hecke algebras at q = 0.