ozlemathph
Jun12-10, 12:19 PM
Hi,
The functions f and g satisfy \frac{df}{dx}=1-f^{2} and \frac{dg}{dx}=-fg and f, g areused in sl(2,C) generators J_{0}, J_{\pm}. I was wondering if there are more general relations for these generators including other functions, say h(x) etc...or is this the most general realization of the sl(2,C) algebra. Thanks.
The functions f and g satisfy \frac{df}{dx}=1-f^{2} and \frac{dg}{dx}=-fg and f, g areused in sl(2,C) generators J_{0}, J_{\pm}. I was wondering if there are more general relations for these generators including other functions, say h(x) etc...or is this the most general realization of the sl(2,C) algebra. Thanks.