Fischer decomposition by generalized inframonogenic functions
Keywords:
Fischer decomposition, fractional Dirac operator, Weyl relations, inframonogenic functions, mathematicsAbstract
In this note we will define a new fractional Dirac operator constructed with a structural set φ to subsequently obtain a Fischer decomposition in terms of (φ,ψ)-inframonogenic functions. This Dirac operator and the fractional variable generate a Lie superalgebra isomorphic to osp (1|2). Such an algebra occurs in superconformal minimal models and in supergravity quantization. As a consequence of the absence of commutativity some features will be shown which differ generally from those known in the classical harmonic case.
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Copyright (c) 2026 Daniel Alfonso-Santiesteban, Ricardo Abreu-Blaya , Yudier Peña-Pérez , José María Sigarreta-Almira (Autor/a)
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