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A (p,q) deformation of the universal enveloping superalgebra U(osp(2/2))

1993/12/17 by Preeti Parashar, P Parashar
Mathematics · Physics and Astronomy · #Advanced Combinatorial Mathematics #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Deformation (meteorology) #Formalism (music) #Lie superalgebra #Quantum #Superalgebra #Supermatrix #hep-th

paper · pdf · doi:10.1088/0305-4470/27/11/030

8 pages; IC/93/413

arxiv created 1993/12/17 · openalex publication_date 1994/06/07 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We investigate a two-parameter quantum deformation of the universal enveloping orthosymplectic superalgebra U(osp(2/2)) by extending the Faddeev-Reshetikhin-Takhtajan formalism to the supersymmetric case. It is shown that U p,q (osp(2/2)) possesses a non-commutative, non-co-commutative Hopf-algebra structure. All the results are expressed in the standard form using quantum Chevalley basis.

Citations