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math.GR2021
Affine Kac-Moody groups and Lie algebras in the language of SGA3
Jun Morita, Arturo Pianzola, Taiki Shibata
In infinite-dimensional Lie theory, the affine Kac-Moody Lie algebras and groups play a distinguished role due to their many applications to various areas of mathematics and physic…
math.GR2021
Affine Kac-Moody Groups as Twisted Loop Groups obtained by Galois Descent Considerations
Jun Morita, Arturo Pianzola, Taiki Shibata
We provide explicit generators and relations for the affine Kac-Moody groups, as well as a realization of them as (twisted) loop groups by means of Galois descent considerations.