Reutenauer, Christophe On symmetric functions related to Witt vectors and the free Lie algebra. (English) Zbl 0823.05059 Adv. Math. 110, No. 2, 234-246 (1995). Assume that \(h_n\) is the \(n\)-th complete symmetric function in infinitely many variables \(x_1, x_2,\ldots\), and define the symmetric functions \(q_n\) in the following way: \[ \prod_{n\ge 1} (1- q_n t)^{-1}= \sum_{n\ge 0} h_n t^n. \] The author shows that the functions \(- q_n\) are sums of Schur functions when \(n\) is a power of a prime number. Reviewer: Plamen Koshlukov (Sofia) Cited in 2 ReviewsCited in 5 Documents MathOverflow Questions: Criteria for ghost-Witt vectors: looking for history and references MSC: 05E05 Symmetric functions and generalizations 17B01 Identities, free Lie (super)algebras 05E10 Combinatorial aspects of representation theory 20C30 Representations of finite symmetric groups Keywords:Witt vectors; free Lie algebra; symmetric function; Schur functions PDFBibTeX XMLCite \textit{C. Reutenauer}, Adv. Math. 110, No. 2, 234--246 (1995; Zbl 0823.05059) Full Text: DOI