Published April 18, 2003 | Version v1
Journal article

Virasoro-type algebras associated with a Penrose tiling

  • 1. Department of Mathematics, Uppsala University SE-75106, Uppsala (Sweden)
  • 2. Centre for Mathematical Science, City University, Northampton Square, London EC1V 0HB (United Kingdom)

Description

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

Availability note (English)

Available online at http://stacks.iop.org/0305-4470/36/4363/a31510.pdf or at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 1361-6447) http://www.iop.org/

Additional details

Identifiers

Publishing Information

Journal Title
Journal of Physics. A, Mathematical and General
Journal Volume
36
Journal Issue
15
Journal Page Range
p. 4363-4373
ISSN
0305-4470
CODEN
JPHAC5

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
34042131
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
ALGEBRA; GROUP THEORY; LIE GROUPS; MATHEMATICAL LOGIC; SUPERSYMMETRY
Descriptors DEC
MATHEMATICS; SYMMETRY; SYMMETRY GROUPS