A decription of the quantum superalgebra U_q[osp(2n+1/2m)] via Green generators

1996/07/29 by Tchavdar D. Palev, Palev, Tchavdar D.
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Algebra (math.QA) #Rings, Modules, and Algebras #hep-th #math.QA #q-alg

paper · pdf · doi:10.48550/arxiv.q-alg/9607030

TeX, 8 pages

arxiv created 1996/07/29 · openalex publication_date 1996/07/29 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A description of the orthosymplectic Lie superalgebra osp(2n+1/2m) and also of its q-deformed analogue U_q[osp(2n+1/2m)] in terms of a new set of generators, called Green generators, is given. These generators are very different form the well known Chevalley generators. Mathematically the Green generators are the root vectors, corresponding to the positive and the negative orthogonal roots. Physically, they consist of m pairs of (deformed) para-Bose operators and n pairs of (deformed) para-Fermi operators.

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