Induced Hopf stucture and irreducible representations of an elliptic U q,p (sl(2)) via a nonlinear map
Abstract
Shiraishi's two parameter generalization of
U
q
(sl(2))
to
U
q,p
(sl(2))
involving an elliptic function is considered. The generators are mapped non-linearly on those of
U
q
(sl(2))
. This gives directly the irreducible representations and an induced Hopf structure. This is one particular example of the scope of a class of non-linear maps introduced by us recently.