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COMBINATORICS
2006

Grothendieck Bialgebras, Partition Lattices, and Symmetric Functions in Noncommutative Variables

8 years 11 months ago
Grothendieck Bialgebras, Partition Lattices, and Symmetric Functions in Noncommutative Variables
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.
Nantel Bergeron, Christophe Hohlweg, Mercedes Rosa
Added 11 Dec 2010
Updated 11 Dec 2010
Type Journal
Year 2006
Where COMBINATORICS
Authors Nantel Bergeron, Christophe Hohlweg, Mercedes Rosas, Mike Zabrocki
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