Fundamental invariants for the action of $SL_3(\mathbb {C}) \times SL_3(\mathbb {C}) \times SL_3(\mathbb {C})$ on $3 \times 3 \times 3$ arrays

DOI10.1090/S0025-5718-2013-02706-8zbMath1272.13007arXiv1112.2949MaRDI QIDQ5326518

Murray R. Bremner, Jiaxiong Hu

Publication date: 6 August 2013

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.2949

zbMATH Keywords

representation theorysemisimple Lie algebraspolynomial invariantsspecial linear groupmultidimensional arrays

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Vector and tensor algebra, theory of invariants (15A72) Actions of groups on commutative rings; invariant theory (13A50)

Related Items

Classifying semisimple orbits of $\theta $-groups, Rank classification of tensors over, Unnamed Item, The \(3\times 3\times 3\) hyperdeterminant as a polynomial in the fundamental invariants for \(\mathrm{SL}_3(\mathbb C)\times\mathrm{SL}_3(\mathbb C)\times\mathrm{SL}_3(\mathbb C)\)

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