Abstract
There are claims in the literature on Clifford algebras that every Lie group can be represented as a spin group. In a letter, Pertti Lounesto emphasized, by explicit counter-examples, that this statement is false. This self-contained short paper intends to present a survey of publications of well-known scientists where explicitly developed counter-examples prove the importance of Lounesto’s letter.
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The author wants to present the referees with his grateful thanks for their helpful comments. He also wants to thank very much his colleagues Rafal Ablamowicz and Jayme Vaz Jr. for all their kindness and generous help in the preparation of the files.
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This paper is dedicated to the memory of my friends Pertti Lounesto, Jaime Keller, Artibano Micali and Waldyr Rodrigues Jr.
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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Anglès, P. A Few Comments on Ado’s Theorem and Non-Linear Lie Groups. Adv. Appl. Clifford Algebras 28, 55 (2018). https://doi.org/10.1007/s00006-018-0871-x
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DOI: https://doi.org/10.1007/s00006-018-0871-x