English

The primitives and antipode in the Hopf algebra of symmetric functions in noncommuting variables

Combinatorics 2010-06-22 v3 Rings and Algebras Representation Theory

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.

Keywords

Cite

@article{arxiv.1006.0367,
  title  = {The primitives and antipode in the Hopf algebra of symmetric functions in noncommuting variables},
  author = {Aaron Lauve and Mitja Mastnak},
  journal= {arXiv preprint arXiv:1006.0367},
  year   = {2010}
}

Comments

8 pages; footnote added; references added; further remarks added