All Outputs (2)

Vertex Ring-Indexed Lie Algebras (2005)
Journal Article
Fairlie, D., & Zachos, C. (2005). Vertex Ring-Indexed Lie Algebras. Physics Letters B, 620(3-4), 195-199. https://doi.org/10.1016/j.physletb.2005.06.033

Infinite dimensional Lie algebras are introduced, which are only partially graded, and are specified by indices lying on cyclotomic rings. They may be thought of as generalisations of the Onsager algebra, but unlike it or its sl(n) generalisations, t... Read More about Vertex Ring-Indexed Lie Algebras.

Implicit solutions to some Lorentz invariant non-linear equations revisited (2005)
Journal Article
Fairlie, D. B. (2005). Implicit solutions to some Lorentz invariant non-linear equations revisited. Journal of Nonlinear Mathematical Physics, 12(3), 449-456. https://doi.org/10.2991/jnmp.2005.12.3.8

An implicit solution to the vanishing of the so-called Universal Field Equation, or Bordered Hessian, which dates at least as far back as 1935 \cite{chaundy} is revived, and derived from a much later form of the solution. A linear ansatz for an impli... Read More about Implicit solutions to some Lorentz invariant non-linear equations revisited.