Summary
The non-compact, metrically indefinite structures in the ghost formulation of gauge theories can be related to the tangent description of the underlying symmetry group. The algebraic origin of those nilpotent degrees of freedom and their quantized formulation are discussed generally in the connection of the complex representations of a compact group with its Poincaré tangent structure.
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Saller, H. Quantum algebras. Nuov Cim B 109, 255–280 (1994). https://doi.org/10.1007/BF02727289
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DOI: https://doi.org/10.1007/BF02727289