Two generalisations of the Binomial theorem

2005/12/12 by Sacha C. Blumen, Blumen, Sacha C.
Mathematics · #11B65 (Primary) #17B37 (Secondary) #Advanced Combinatorial Mathematics #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Quantum Algebra (math.QA) #math.QA #msc:11B65 #msc:17B37

paper · pdf · doi:10.48550/arxiv.math/0512233

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

arxiv created 2005/12/12 · openalex publication_date 2005/12/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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)).

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