Rational R-matrices, centralizer algebras and tensor identities for e6 and e7 exceptional families of Lie algebras

DOI10.1063/1.2779960zbMath1152.81548arXivmath/0608248OpenAlexW2949899657MaRDI QIDQ3544486

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Publication date: 8 December 2008

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0608248

Mathematics Subject Classification ID

Exceptional (super)algebras (17B25) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Related Items (1)

Diagrammatics for F4$F_4$

Cites Work

• On the structure of Brauer's centralizer algebras
• Quantum difference nonlinear Schrödinger equation
• On tensor categories of Lie type \(E_{N}, N\neq 9\)
• Magic squares and matrix models of Lie algebras.
• Integrable aspects of the scaling \(q\)-state Potts models. I: Bound states and bootstrap closure
• Spiders for rank 2 Lie algebras
• Lie groups in the foundations of geometry
• On algebras which are connected with the semisimple continuous groups
• INVARIANT TENSORS AND DIAGRAMS
• DEVELOPMENT OF A UNIFIED TENSOR CALCULUS FOR THE EXCEPTIONAL LIE ALGEBRAS
• Rational R-matrices in irreducible representations
• The full set of c_n-invariant factorized S-matrices
• Bulk and boundaryg₂factorizedS-matrices
• Some Exact Results for the Many-Body Problem in one Dimension with Repulsive Delta-Function Interaction

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