Title
The primitives and antipode in the Hopf algebra of symmetric functions in noncommuting variables
Abstract
We identify a collection of primitive elements generating the Hopf algebra NCSym of symmetric functions in noncommuting variables and give a combinatorial formula for the antipode.
Year
DOI
Venue
2011
10.1016/j.aam.2011.01.002
Advances in Applied Mathematics
Keywords
Field
DocType
hopf algebra ncsym,set compositions,primitive element,primitives. lauve partially supported by nsa grant #h98230-10-1-0362. mastnak partially supported by an nserc discovery grant.,antipode,set partitions,. combinatorial hopf algebras,symmetric function,noncommuting variable,combinatorial formula,hopf algebra,representation theory
Discrete mathematics,Symmetric function,Combinatorics,Algebra,Quasitriangular Hopf algebra,Representation theory of Hopf algebras,Hopf algebra,Mathematics,Quantum group
Journal
Volume
Issue
ISSN
47
3
0196-8858
Citations 
PageRank 
References 
1
0.38
2
Authors
2
Name
Order
Citations
PageRank
Aaron Lauve141.92
Mitja Mastnak221.07