Two generalisations of the Binomial theorem

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 U_{q}(osp(1|2n)).

5 pages, no figures. Accepted for publication in the Aust. Math. Soc. Gazette