Elementary results for the fundamental representation of \(\mathrm{SU}(3)\)

DOI10.1016/S0034-4877(15)30040-9zbMath1342.22031arXiv1508.00868OpenAlexW2215054182WikidataQ55968404 ScholiaQ55968404MaRDI QIDQ261588

Cosmas K. Zachos, Thomas L. Curtright

Publication date: 24 March 2016

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.00868

zbMATH Keywords

Cayley-Hamilton theoremfundamental representation of \(\mathrm{SU}(3)\)Gell-Mann matrices

Mathematics Subject Classification ID

Lie algebras of Lie groups (22E60)

Related Items (3)

Geometric invariant decomposition of SU(3) ⋮ Matrix exponentials, SU(N) group elements, and real polynomial roots ⋮ Geometric description of modular and weak values in discrete quantum systems using the Majorana representation

Cites Work

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• A compact formula for rotations as spin matrix polynomials
• On Taylor's formula for the resolvent of a complex matrix
• More on rotations as spin matrix polynomials
• The exponential map of GL(N)
• Exact matrix expansions for group elements of SU(N)
• On rotations as spin matrix polynomials
• Finite Transformations in Various Representations of SU(3)

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