On the gamma matrix representations of \(\mathrm{SO}(8)\) and Clifford algebras
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Publication:1990569
DOI10.1007/s00006-018-0906-3zbMath1430.15015OpenAlexW2894880865MaRDI QIDQ1990569
Publication date: 25 October 2018
Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00006-018-0906-3
Dirac equationspinor field\(\mathrm{SO}(8)\) algebraClifford algebra representationsFermi-Bose dualityreal number algebra
Clifford algebras, spinors (15A66) Representations of finite groups of Lie type (20C33) Matrix Lie algebras (15B30)
Related Items (2)
On the representations of Clifford and \(\mathrm{SO}(1, 9)\) algebras for 8-component Dirac equation ⋮ On the Dirac-like equation in 7-component space-time and generalized Clifford-Dirac algebra
Cites Work
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- Bosonic symmetries of the Dirac equation
- On the electron theory
- Inconsistency of the local field theory of charged spin 3/2 particles
- Symmetries of the complex Dirac-Kähler equation
- Massive field equations of arbitrary spin in Schwarzschild geometry: separation induced by spin-\(\frac{3}{2}\) case
- Bosonic symmetries of the massless Dirac equation
- Massive fields of arbitrary spin in curved space-times
- Unitary connection in Maxwell-Dirac isomorphism and the Clifford algebra
- Clifford algebra in classical electrodynamical hydrogen atom model
- Relationship between the Maxwell and Dirac equations: symmetries, quantization, models of atom
- Solution to the Rarita-Schwinger equations
- Extension of the standard CD algebra in the axiomatic approach for spinor field and Fermi-Bose duality
- General theory of covariant particle equations
- Wave Equations in Higher Dimensions
- Synthesis of Covariant Particle Equations
- On the conservation of the Lepton charge
- Relation of charge independence and baryon conservation to Pauli’s transformation
- On the Lagrangian and Hamiltonian constraint algorithms for the Rarita-Schwinger field coupled to an external electromagnetic field
- Bhabha relativistic wave equations
- SYMMETRY OF MASSIVE RARITA–SCHWINGER FIELDS
- The inhomogeneous lorentz group and the conformal group
- A Foldy-Wouthuysen transformation for particles of arbitrary spin
- Relativistic Schrödinger Equations for Particles of Arbitrary Spin
- Second-Quantization Process for Particles with Any Spin and with Internal Symmetry
- On a Theory of Particles with Half-Integral Spin
- Group Theoretical Discussion of Relativistic Wave Equations
- On the Dirac Theory of Spin 1/2 Particles and Its Non-Relativistic Limit
- Relativistic Wave Equations for the Elementary Particles
- Fields on the Poincaré group: Arbitrary spin description and relativistic wave equations
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