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Grothendieck bialgebras, Partition lattices, and symmetric functions in noncommutative variables

 

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Author: Bergeron, Nantel
Hohlweg, Christophe
Rosas Celis, Mercedes Helena
Zabrocki, Mike
Department: Universidad de Sevilla. Departamento de álgebra
Date: 2006
Published in: The Electronic Journal of Combinatorics, 13(1)
Document type: Article
Abstract: We show that the Grothendieck bialgebra of the semi-tower of partition lattice algebras is isomorphic to the graded dual of the bialgebra of symmetric functions in noncommutative variables. In particular this isomorphism singles out a canonical new basis of the symmetric functions in noncommutative variables which would be an analogue of the Schur function basis for this bialgebra.
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URI: http://hdl.handle.net/11441/41182

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