Adventures in Invariant Theory
Quantitative Methods
2019-02-20 v2 Group Theory
Statistics Theory
Populations and Evolution
Quantum Physics
Statistics Theory
Abstract
We provide an introduction to enumerating and constructing invariants of group representations via character methods. The problem is contextualised via two case studies arising from our recent work: entanglement measures, for characterising 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.
Cite
@article{arxiv.1205.5433,
title = {Adventures in Invariant Theory},
author = {P. D. Jarvis and J. G. Sumner},
journal= {arXiv preprint arXiv:1205.5433},
year = {2019}
}
Comments
12 pp, includes supplementary discussion of examples