Two generalisations of the Binomial theorem

Details Two generalisations of the Binomial theorem Two generalisations of the Binomial theorem

2005-12-12

arxiv.org/abs/math/0512233v1

Mathematics

Quantum Algebra

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

Scientific paper

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)).

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