The Lie algebra s o (N) and the Duffin-Kemmer-Petiau ring

DOI10.1063/1.1666504zbMath0271.17007OpenAlexW2020435655WikidataQ115333858 ScholiaQ115333858MaRDI QIDQ3215390

C. K. Scott, James D. Louck, Michael Martin Nieto, Ephraim Fischbach

Publication date: 1974

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1666504

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Applications of Lie groups to the sciences; explicit representations (22E70)

Related Items (7)

Could Elko spinor fields induce VSR symmetry in the DKP (meson) algebra? ⋮ Consistent wave equations for families of massive particles with any spin ⋮ Dirac oscillator in a Galilean covariant non-commutative space ⋮ Algebraic identities among U (n) infinitesimal generators ⋮ Spinless Duffin-Kemmer-Petiau oscillator in a Galilean non-commutative phase space ⋮ Supergeneralization of Duffin–Kemmer–Petiau Algebra and Lie superalgebra osp(N,M) ⋮ On the Duffin-Kemmer-Petiau equation in arbitrary dimensions

Cites Work

• Duffin-Kemmer algebras as a ring and its representations. Addendum
• Spinors in n Dimensions
• Representations of the Orthogonal Group. I. Lowering and Raising Operators of the Orthogonal Group and Matrix Elements of the Generators
• Lowering and Raising Operators for the Orthogonal Group in the Chain O(n) ⊃ O(n − 1) ⊃ … , and their Graphs
• On The Characteristic Matrices of Covariant Systems
• The particle aspect of meson theory
• On the Postulational Basis of the Theory of Elementary Particles

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