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

Reidun Twarock; Volodymyr Mazorchuk

doi:10.1142/9789812702340_0012

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

Reidun Twarock, Volodymyr Mazorchuk

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Abstract

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.

Read More: http://www.worldscientific.com/doi/abs/10.1142/9789812702340_0012

Original language	English
Title of host publication	Quantum Theory and Symmetries
Subtitle of host publication	Proceedings of the 3rd International Symposium, Cincinnati, USA, 10-14 September 2003
Editors	P.C. Argyres, T.J. Hodges, F. Mansouri, J.J. Scanio, P Suranyi, L.C.R. Wijewardhana
Publisher	World Scientific Publishing
Pages	99-104
Number of pages	5
ISBN (Electronic)	978-981-4481-60-1
ISBN (Print)	978-981-256-068-1
DOIs	https://doi.org/10.1142/9789812702340_0012
Publication status	Published - Oct 2004

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10.1142/9789812702340_0012

http://www.worldscientific.com/doi/abs/10.1142/9789812702340_0012

Cite this

Twarock, R., & Mazorchuk, V. (2004). Virasoro-type algebras associated with higher-rank aperiodic point sets. In P. C. Argyres, T. J. Hodges, F. Mansouri, J. J. Scanio, P. Suranyi, & L. C. R. Wijewardhana (Eds.), Quantum Theory and Symmetries: Proceedings of the 3rd International Symposium, Cincinnati, USA, 10-14 September 2003 (pp. 99-104). World Scientific Publishing. https://doi.org/10.1142/9789812702340_0012

Twarock, Reidun ; Mazorchuk, Volodymyr. / Virasoro-type algebras associated with higher-rank aperiodic point sets. Quantum Theory and Symmetries: Proceedings of the 3rd International Symposium, Cincinnati, USA, 10-14 September 2003. editor / P.C. Argyres ; T.J. Hodges ; F. Mansouri ; J.J. Scanio ; P Suranyi ; L.C.R. Wijewardhana. World Scientific Publishing, 2004. pp. 99-104

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Twarock, R & Mazorchuk, V 2004, Virasoro-type algebras associated with higher-rank aperiodic point sets. in PC Argyres, TJ Hodges, F Mansouri, JJ Scanio, P Suranyi & LCR Wijewardhana (eds), Quantum Theory and Symmetries: Proceedings of the 3rd International Symposium, Cincinnati, USA, 10-14 September 2003. World Scientific Publishing, pp. 99-104. https://doi.org/10.1142/9789812702340_0012

Virasoro-type algebras associated with higher-rank aperiodic point sets. / Twarock, Reidun; Mazorchuk, Volodymyr.
Quantum Theory and Symmetries: Proceedings of the 3rd International Symposium, Cincinnati, USA, 10-14 September 2003. ed. / P.C. Argyres; T.J. Hodges; F. Mansouri; J.J. Scanio; P Suranyi; L.C.R. Wijewardhana. World Scientific Publishing, 2004. p. 99-104.

Research output: Chapter in Book/Report/Conference proceeding › Chapter

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Twarock R, Mazorchuk V. Virasoro-type algebras associated with higher-rank aperiodic point sets. In Argyres PC, Hodges TJ, Mansouri F, Scanio JJ, Suranyi P, Wijewardhana LCR, editors, Quantum Theory and Symmetries: Proceedings of the 3rd International Symposium, Cincinnati, USA, 10-14 September 2003. World Scientific Publishing. 2004. p. 99-104 doi: 10.1142/9789812702340_0012