On the $C_{\lambda}$-extended $w_{\infty}$-symmetry
Douari, J. ; Kinani, H. El
arXiv, 0309036 / Harvested from arXiv
Text on arXiv
Starting from the $C_{\lambda}$-extended oscillator algebras, we obtain a new deformed $w_{\infty}$-algebra. More precisely, we show that the $C_{\lambda}$-extended $w_{\infty}$-algebra generators may be expressed via the annihilation and creation operators of the $C_{\lambda}$-extended oscillator algebras $a$ and $a^{\dagger}$ as an infinite-dimensional extension of the realization of $sp(2)$ algebra.
Publié le : 2003-09-15
Classification:  Mathematical Physics 
@article{0309036,
     author = {Douari, J. and Kinani, H. El},
     title = {On the $C\_{\lambda}$-extended $w\_{\infty}$-symmetry},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0309036}
}

Douari, J.; Kinani, H. El. On the $C_{\lambda}$-extended $w_{\infty}$-symmetry. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0309036/