Abstract
The geometric product, defined by Graf on the space of differential forms, endows the sections of the exterior bundle by a structure that is necessary to construct a Clifford algebra. The Graf product is introduced and revisited with a suitable underlying framework that naturally encompasses a coframe in the cotangent bundle, besides the volume element centrality, the Hodge operator and the so called truncated subalgebra as well.
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Acknowledgements
RL thanks to CAPES and RdR is grateful to CNPq (grant No. 303293/2015-2) and to FAPESP (grant No. 2017/18897-8), for partial financial support.
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This article is part of the Topical Collection on Homage to Prof. W.A. Rodrigues Jr. edited by Jayme Vaz Jr..
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Lopes, R., da Rocha, R. The Graf Product: A Clifford Structure Framework on the Exterior Bundle. Adv. Appl. Clifford Algebras 28, 57 (2018). https://doi.org/10.1007/s00006-018-0875-6
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DOI: https://doi.org/10.1007/s00006-018-0875-6