ADVENTURES IN INVARIANT THEORY

DOI10.1017/S1446181114000327zbMath1309.81033arXiv1205.5433OpenAlexW3098775190MaRDI QIDQ5174334

Peter D. Jarvis, Jeremy G. Sumner

Publication date: 17 February 2015

Published in: The ANZIAM Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.5433

zbMATH Keywords

invariantentanglementSchur functionplethysmtanglegroup characterqubitquartetgeneral Markov modelsquangle

Mathematics Subject Classification ID

Biochemistry, molecular biology (92C40) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Applications of group representations to physics and other areas of science (20C35) General biology and biomathematics (92B05) Quantum coherence, entanglement, quantum correlations (81P40)

Related Items (4)

Matrix group structure and Markov invariants in the strand symmetric phylogenetic substitution model ⋮ Developing a statistically powerful measure for quartet tree inference using phylogenetic identities and Markov invariants ⋮ Dimensional reduction for the general Markov model on phylogenetic trees ⋮ Systematics and symmetry in molecular phylogenetic modelling: perspectives from physics

Cites Work

• Using the tangle: A consistent construction of phylogenetic distance matrices for quartets
• Invariants of phylogenies in a simple case with discrete states
• Markov invariants and the isotropy subgroup of a quartet tree
• Lie Markov models
• Markov invariants, plethysms, and phylogenetics
• Entanglement invariants and phylogenetic branching
• Tensor Rank, Invariants, Inequalities, and Applications
• Quantifying entanglement resources
• Quantum entanglement
• Markov-type Lie groups in GL(n,R)
• New branching rules induced by plethysm
• Asynchronous Distance between Homologous DNA Sequences
• On a Lie-theoretic approach to generalized doubly stochastic matrices and applications
• A Hopf laboratory for symmetric functions
• Quantum Theory for Mathematicians
• The mixed two qutrit system: local unitary invariants, entanglement monotones, and the SLOCC group $SL(3,{\mathbb {C}})$
• A mixed two-qubit system and the structure of its ring of local invariants

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