English

A Note on Cyclic Gradients

Rings and Algebras 2007-05-23 v1 Operator Algebras

Abstract

Simple necessary and sufficient conditions for a nn-tuple of noncommutative polynomials to be a cyclic gradient are given and similarly for a noncommutative polynomial to have a vanishing cyclic gradient. Connections with free probability are explained.

Keywords

Cite

@article{arxiv.math/0005045,
  title  = {A Note on Cyclic Gradients},
  author = {Dan Voiculescu},
  journal= {arXiv preprint arXiv:math/0005045},
  year   = {2007}
}

Comments

5 pages