Footnotes to a paper by Domokos

TL;DR

This paper extends the study of invariants and trace identities related to quivers and wreath products, utilizing Regev's double centralizer theorem, and introduces new computations of Poincare series and embedding theorems.

Contribution

It generalizes previous work by applying Regev's theorem to broader algebraic structures and computes new invariants like Poincare series and embedding results.

Findings

Extended invariants and trace identities to new algebraic contexts

Computed Poincare series for the studied structures

Proved new embedding theorems for these algebras

Abstract

The paper of Domokos is "Invariants of quivers and wreath products," and as in that paper we use Regev's double centralizer theorem for wreath products to study trace identities and invariant theory. In addition to extending to other algebras and groups, we also compute Poincare series and prove embedding theorems.