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Adventures in invariant theory

Citation

Jarvis, PD and Sumner, JG, Adventures in invariant theory, ANZIAM Journal, 56, (2) pp. 105-115. ISSN 1446-1811 (2014) [Refereed Article]

Copyright Statement

Copyright 2014 Australian Mathematical Society

DOI: doi:10.1017/S1446181114000327

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.

Item Details

Item Type:Refereed Article
Keywords:group character, invariant, plethysm, Schur function, entanglement, qubit, tangle, squangle, quartet, general Markov model
Research Division:Mathematical Sciences
Research Group:Pure Mathematics
Research Field:Group Theory and Generalisations
Objective Division:Expanding Knowledge
Objective Group:Expanding Knowledge
Objective Field:Expanding Knowledge in the Mathematical Sciences
Author:Jarvis, PD (Dr Peter Jarvis)
Author:Sumner, JG (Dr Jeremy Sumner)
ID Code:98793
Year Published:2014
Web of Science® Times Cited:3
Deposited By:Mathematics and Physics
Deposited On:2015-03-03
Last Modified:2017-11-01
Downloads:0

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