Virasoro-type algebras associated with higher-rank aperiodic point sets

Reidun Twarock, Volodymyr Mazorchuk

Research output: Chapter in Book/Report/Conference proceedingChapter


A method for the construction of infinite-dimensional Lie algebras of Virasoro-type is discussed, which uses aperiodic point sets as basic building blocks. The corresponding algebras have generators in a one-to-one correspondence with aperiodic point sets that are obtained via a projection formalism from higher dimensional lattices. They share structural similarities with the Virasoro algebra by construction, but exhibit different properties.

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Original languageEnglish
Title of host publicationQuantum Theory and Symmetries
Subtitle of host publicationProceedings of the 3rd International Symposium, Cincinnati, USA, 10-14 September 2003
EditorsP.C. Argyres, T.J. Hodges, F. Mansouri, J.J. Scanio, P Suranyi, L.C.R. Wijewardhana
PublisherWorld Scientific Publishing
Number of pages5
ISBN (Electronic)978-981-4481-60-1
ISBN (Print)978-981-256-068-1
Publication statusPublished - Oct 2004

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