Authors
Citation
A. Mostafazadeh, On the representation theory of orthofermions and orthosupersymmetric realization of parasupersymmetry and fractional supersymmetry, J PHYS A, 34(41), 2001, pp. 8601-8609
Citations number
17
Categorie Soggetti
Physics
Journal title
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN journal
03054470
→ ACNP
Volume
34
Issue
41
Year of publication
2001
Pages
8601 - 8609
Database
ISI
SICI code
0305-4470(20011019)34:41<8601:OTRTOO>2.0.ZU;2-3
Abstract
We construct a canonical irreducible representation for the orthofermion al
gebra of arbitrary order, and show that every representation decomposes int
o irreducible representations that are isomorphic to either the canonical r
epresentation or the trivial representation. We use these results to show t
hat every orthosupersymmetric system of order p has a parasupersymmetry of
order p and a fractional supersymmetry of order p + 1.