Adventures in invariant theory

Peter D. Jarvis, Jeremy G. Sumner


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.



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


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ANZIAM Journal, ISSN 1446-8735, copyright Australian Mathematical Society.