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Virasoro-type algebras associated with a Penrose tiling

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JournalJournal of Physics A: Mathematical and General
DatePublished - 18 Apr 2003
Issue number15
Volume36
Number of pages11
Pages (from-to)4363-4373
Original languageEnglish

Abstract

A family of infinite-dimensional Lie algebras with generators in a one-to-one correspondence with the points of a Penrose tiling is introduced. Central extensions, leading to Virasoro-type algebras, are constructed, and highest weight representations for these algebras are considered. Furthermore, extensions to a super-symmetric setting and thus aperiodic analogues to Virasoro super-algebras are discussed.

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