Adventures in invariant theory

Peter D. Jarvis, Jeremy G. Sumner

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

Keywords


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



DOI: http://dx.doi.org/10.21914/anziamj.v56i0.7299



Remember, for most actions you have to record/upload into this online system
and then inform the editor/author via clicking on an email icon or Completion button.
ANZIAM Journal, ISSN 1446-8735, copyright Australian Mathematical Society.