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arxiv: math/0702298 · v4 · pith:K32JHJ7Rnew · submitted 2007-02-11 · 🧮 math.QA · math.RT

Notes on two-parameter quantum groups, (I)

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keywords givengroupspositivequantumtwo-parameteralgebrasassociatedclass
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A simpler definition for a class of two-parameter quantum groups associated to semisimple Lie algebras is given in terms of Euler form. Their positive parts turn out to be 2-cocycle deformations of each other under some conditions. An operator realization of the positive part is given.

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