Vertex operator representation of some quantum tori Lie algebras |
| |
Authors: | M. Golenishcheva-Kutuzova D. Lebedev |
| |
Affiliation: | (1) Moscow Institute of Radiotechnology, Electronics and Automatics, Moscow, Russia;(2) Istituto Nazionale di Fisica Nucleare, Sezione di Roma, Italy;(3) Present address: Institute of Theoretical and Experimental Physics, 117259 Moscow, Russia |
| |
Abstract: | We are defining the trigonometric Lie subalgebras in which are the natural generalization of the well known Sin-Lie algebra. The embedding formulas into are introduced. These algebras can be considered as some Lie algebras of quantum tori. An irreducible representation ofA, B series of trigonometric Lie algebras is constructed. Special cases of the trigonometric Lie factor algebras, which can be considered as a quantum (preserving Lie algebra structure) deformation of the Kac-Moody algebras are considered. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|