COMMENT ON THE DIFFERENTIAL-CALCULUS ON THE QUANTUM EXTERIOR PLANE

Citation
S. Celik et al., COMMENT ON THE DIFFERENTIAL-CALCULUS ON THE QUANTUM EXTERIOR PLANE, Modern physics letters A, 13(20), 1998, pp. 1645-1651
Citations number
8
Categorie Soggetti
Physics, Nuclear","Physics, Particles & Fields","Physycs, Mathematical
Journal title
ISSN journal
02177323
Volume
13
Issue
20
Year of publication
1998
Pages
1645 - 1651
Database
ISI
SICI code
0217-7323(1998)13:20<1645:COTDOT>2.0.ZU;2-E
Abstract
We give a two-parameter quantum deformation of the exterior plane and its differential calculus without the use of any R-matrix and relate i t to the differential calculus with the R-matrix. We prove that there are two types of solutions of the Yang-Baxter equation whose symmetry group is GL(p,q)(2) We also give a two-parameter deformation of the fe rmionic oscillator algebra.