SOME REMARKS ON THE GAUSS DECOMPOSITION FOR QUANTUM GROUP GL(Q)(N) WITH APPLICATION TO Q-BOSONIZATION

Authors
DAMASKINSKY EV SOKOLOV MA
Citation
Ev. Damaskinsky et Ma. Sokolov, SOME REMARKS ON THE GAUSS DECOMPOSITION FOR QUANTUM GROUP GL(Q)(N) WITH APPLICATION TO Q-BOSONIZATION, Journal of physics. A, mathematical and general, 28(13), 1995, pp. 3725-3732
Citations number
24
Categorie Soggetti
Physics
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
28
Issue
13
Year of publication
1995
Pages
3725 - 3732
Database
ISI
SICI code
0305-4470(1995)28:13<3725:SROTGD>2.0.ZU;2-V
Abstract
The Gauss decomposition of quantum group GL(q) (n) is defined purely a lgebraically. The entries of the upper-triangular matrix commutes with those of the lower-triangular one. The quantum determinant is the pro duct of the diagonal matrix elements. This decomposition gives rise to a new bosonization of the GL(q) (n) in terms of 2n q-oscillators.