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A Clifford perspective on reflection groups, root systems and ADE correspondences

Dechant, Pierre-Philippe ORCID: https://orcid.org/0000-0002-4694-4010 A Clifford perspective on reflection groups, root systems and ADE correspondences. In: 12th International Conference on Clifford Algebras and Their Applications in Mathematical Physics, 3-7 August 2020, University of Science and Technology of China, University of Science and Technology of China. (Unpublished)

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Abstract

In this talk, I will argue why a Clifford algebraic framework is ideally suited for describing reflection groups and root systems. This approach resulted in an induction theorem relating sets of root systems in three and four dimensions, with connections to Arnold's Trinities and the McKay correspondence. This connection can be extended - by matching invariants - to different ADE-type correspondences, with a conceptual unification between the different ADE sets at the level of root systems

Item Type: Conference or Workshop Item (Paper)
Status: Unpublished
Related URLs:
Subjects: Q Science > QA Mathematics
URI: http://ray.yorksj.ac.uk/id/eprint/4711

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