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math-ph2005
Lie algebras associated with one-dimensional aperiodic point sets
David B. Fairlie, Reidun Twarock, Cosmas K. Zachos
The set of points of a one-dimensional cut-and-project quasicrystal or model set, while not additive, is shown to be multiplicative for appropriate choices of acceptance windows. T…
hep-th2005
Vertex Ring-Indexed Lie Algebras
David Fairlie, Cosmas Zachos
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 generalizations…