Tensor extension of the Poincaré algebra

2004/10/02 by D. Soroka, Dmitrij V. Soroka, Vyacheslav Soroka +1 · 79 citations
Mathematics · Physics and Astronomy · #Algebra over a field #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Casimir effect #Computer science #Extension (predicate logic) #Generalization #Mathematical analysis #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Poincaré conjecture #Pure mathematics #Quantum mechanics #Tensor (intrinsic definition) #hep-th

paper · pdf · doi:10.1016/j.physletb.2004.12.075

published in Physics Letters B 607(3-4), 302-305 (Elsevier BV) · 1+7 pages, LaTeX

arxiv created 2004/10/02 · openalex publication_date 2005/01/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

A tensor extension of the Poincaré algebra is proposed for the arbitrary dimensions. Casimir operators of the extension are constructed. A possible supersymmetric generalization of this extension is also found in the dimensions D=2,3,4.

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