Artículo
Grothendieck bialgebras, Partition lattices, and symmetric functions in noncommutative variables
Autor/es | Bergeron, Nantel
Hohlweg, Christophe Rosas Celis, Mercedes Helena Zabrocki, Mike |
Departamento | Universidad de Sevilla. Departamento de álgebra |
Fecha de publicación | 2006 |
Fecha de depósito | 2016-05-13 |
Publicado en |
|
Resumen | 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 ... 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. |
Agencias financiadoras | Canada Research Chairs Natural Sciences and Engineering Research Council of Canada (NSERC) |
Cita | Bergeron, N., Hohlweg, C., Rosas Celis, M.H. y Zabrocki, M. (2006). Grothendieck bialgebras, Partition lattices, and symmetric functions in noncommutative variables. |
Ficheros | Tamaño | Formato | Ver | Descripción |
---|---|---|---|---|
Grothendieck bialgebras partition ... | 185.8Kb | [PDF] | Ver/ | |