DEFORMATIONS OF QUANTUM HYPERPLANES

Authors
POST G
Citation
G. Post, DEFORMATIONS OF QUANTUM HYPERPLANES, letters in mathematical physics, 36(2), 1996, pp. 109-116
Citations number
7
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
letters in mathematical physics → ACNP
ISSN journal
03779017
Volume
36
Issue
2
Year of publication
1996
Pages
109 - 116
Database
ISI
SICI code
0377-9017(1996)36:2<109:DOQH>2.0.ZU;2-6
Abstract
We consider the quantum hyperplane x(i) x(j) = q(ij) x(i) x(j) (i, j = 1..n) and define and consider deformations of the form x(i) x(j) = q( ij) x(j) x(i) + Sigma(k) alpha(k)(ij) x(k) + beta(ij), where alpha(k)( ij) and beta(ij) are complex numbers. We prove that for generic q(ij) no nontrivial deformations exist for n greater than or equal to 3.