Adventures in invariant theory

Authors

  • Peter D. Jarvis University of Tasmania
  • Jeremy G. Sumner University of Tasmania

DOI:

https://doi.org/10.21914/anziamj.v56i0.7299

Keywords:

group character, invariant, plethysm, Schur function, entanglement, qubit, tangle, squangle, quartet, general Markov model

Abstract

We provide an introduction to enumerating and constructing invariants of group representations via character methods. The problem is contextualized via two case studies, arising from our recent work: entanglement invariants for characterizing the structure of state spaces for composite quantum systems; and Markov invariants, a robust alternative to parameter-estimation intensive methods of statistical inference in molecular phylogenetics. doi:10.1017/S1446181114000327

Published

2015-01-15

Issue

Vol. 56 (2014)

Section

Articles for Printed Issues