Induced Hopf stucture and irreducible representations of an elliptic $U_{q,p}(sl(2))$ via a nonlinear map

Details Induced Hopf stucture and irreducible representations of an elliptic $U_{q,p}(sl(2))$ via a nonlinear map Induced Hopf stucture and irreducible representations of an elliptic $U_{q,p}(sl(2))$ via a nonlinear map

1996-11-13

arxiv.org/abs/q-alg/9611014v1

Mathematics

Quantum Algebra

Latex-file, 6 pages

Scientific paper

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.

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