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Two generalisations of the Binomial theorem

Sacha C. Blumen

math.QAarXiv:math/0512233

Abstract

We prove two generalisations of the Binomial theorem that are also generalisations of the q-binomial theorem. These generalisations arise from the commutation relations satisfied by the components of the co-multiplications of non-simple root vectors in the quantum superalgebra Uq(osp(1|2n)).

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