An analogue to the Witt identity

G. A. T. F. da Costa and G. A. Zimmermann

Vol. 263 (2013), No. 2, 475–494

DOI: 10.2140/pjm.2013.263.475

Abstract

We solve combinatorial and algebraic problems associated with a multivariate identity first considered by Sherman, which he called an analog to the Witt identity. We extend previous results obtained for the univariate case.

Keywords

Sherman identity, paths counting, (generalized) Witt formula, free Lie algebras

Mathematical Subject Classification 2010

Primary: 05C30

Secondary: 05C25, 05C38

Milestones

Received: 5 May 2012

Accepted: 4 September 2012

Published: 31 May 2013