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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 |
| UTAS Author: | Jarvis, PD (Dr Peter Jarvis) |
| UTAS Author: | Sumner, JG (Associate Professor Jeremy Sumner) |
| ID Code: | 98793 |
| Year Published: | 2014 |
| Web of Science® Times Cited: | 5 |
| Deposited By: | Mathematics and Physics |
| Deposited On: | 2015-03-03 |
| Last Modified: | 2017-11-01 |
| Downloads: | 0 |
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