1
Zhejiang University of Science and Technology, China
2
Zhejiang International Studies University, China
Abstract
We construct a family of two parameter quantum grou-\\ps
$U_{r,s}(\mathfrak{g})$ associated with a generalized Kac-Moody
algebra corresponding to symmetrizable admissible Borcherds Cartan
matrix. We also construct the $\textbf{A}$-form $U_{\textbf{A}}$ and
the classical limit of $U_{r,s}(\mathfrak{g})$. Furthermore, we
display the equitable presentation for a subalgebra
$U_{r,s}^{b-}(\mathfrak{g} )$ of $U_{r,s}(\mathfrak{g})$ and show
that this presentation has the attractive feature that all of its
generators act semisimply on finite dimensional irreducible
$U_{r,s}(\mathfrak{g})$-modules associated with the Kac-Moody algebra.
Sun,Q. and Li,H. (2013). The two parameter quantum groups
$U_{r,s}(\mathfrak{g})$ associated to generalized Kac-Moody algebra
and their equitable presentation. Bulletin of the Iranian Mathematical Society, 39(1), 125-149.
MLA
Sun,Q. , and Li,H. . "The two parameter quantum groups
$U_{r,s}(\mathfrak{g})$ associated to generalized Kac-Moody algebra
and their equitable presentation", Bulletin of the Iranian Mathematical Society, 39, 1, 2013, 125-149.
HARVARD
Sun Q., Li H. (2013). 'The two parameter quantum groups
$U_{r,s}(\mathfrak{g})$ associated to generalized Kac-Moody algebra
and their equitable presentation', Bulletin of the Iranian Mathematical Society, 39(1), pp. 125-149.
CHICAGO
Q. Sun and H. Li, "The two parameter quantum groups
$U_{r,s}(\mathfrak{g})$ associated to generalized Kac-Moody algebra
and their equitable presentation," Bulletin of the Iranian Mathematical Society, 39 1 (2013): 125-149,
VANCOUVER
Sun Q., Li H. The two parameter quantum groups
$U_{r,s}(\mathfrak{g})$ associated to generalized Kac-Moody algebra
and their equitable presentation. BIMS, 2013; 39(1): 125-149.
