Abstract
We present new parametrizations of elements of spinor and orthogonal groups of dimension 4 using Grassmann exterior algebra. Theory of spinor groups is an important tool in theoretical and mathematical physics namely in the Dirac equation for an electron.
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This work was partially supported by the grant of the President of the Russian Federation (project NSh-7675.2010.1) and by Division of mathematics of RAS (project “Modern problems in theoretical mathematics”).
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Marchuk, N. Parametrisations of Elements of Spinor and Orthogonal Groups Using Exterior Exponents. Adv. Appl. Clifford Algebras 21, 583–590 (2011). https://doi.org/10.1007/s00006-010-0271-3
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DOI: https://doi.org/10.1007/s00006-010-0271-3