Virasoro-type algebras associated with a Penrose tiling

Volodymyr Mazorchuk; R. Twarock

doi:10.1088/0305-4470/36/15/310

Virasoro-type algebras associated with a Penrose tiling

Volodymyr Mazorchuk, R. Twarock

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	4363-4373
Number of pages	11
Journal	Journal of Physics A: Mathematical and General
Volume	36
Issue number	15
DOIs	https://doi.org/10.1088/0305-4470/36/15/310
Publication status	Published - 18 Apr 2003

Access to Document

10.1088/0305-4470/36/15/310

Cite this

@article{2de6fa2366e5430e9525f35167862abf,

title = "Virasoro-type algebras associated with a Penrose tiling",

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.",

author = "Volodymyr Mazorchuk and R. Twarock",

year = "2003",

month = apr,

day = "18",

doi = "10.1088/0305-4470/36/15/310",

language = "English",

volume = "36",

pages = "4363--4373",

journal = "Journal of Physics A: Mathematical and General",

issn = "0305-4470",

publisher = "IOP Publishing Ltd.",

number = "15",

}

TY - JOUR

T1 - Virasoro-type algebras associated with a Penrose tiling

AU - Mazorchuk, Volodymyr

AU - Twarock, R.

PY - 2003/4/18

Y1 - 2003/4/18

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0037453711&partnerID=8YFLogxK

U2 - 10.1088/0305-4470/36/15/310

DO - 10.1088/0305-4470/36/15/310

M3 - Article

AN - SCOPUS:0037453711

SN - 0305-4470

VL - 36

SP - 4363

EP - 4373

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

IS - 15

ER -

Virasoro-type algebras associated with a Penrose tiling

Abstract

Access to Document

Other files and links

Cite this