3 citations · 5 across the 10 of their papers we have counts for
11 papers
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…
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.
Elementary equivalence of Kac-Moody groups
Jun Morita, Eugene Plotkin
The paper is devoted to model-theoretic properties of Kac-Moody groups with the focus on elementary equivalence of Kac-Moody groups. We show that elementary equivalence of (untwist…
Discretization of SU(2) and the Orthogonal Group Using Icosahedral Symmetries and the Golden Numbers
Robert V. Moody, Jun Morita
The vertices of the four dimensional -cell form a non-crystallographic root system whose corresponding symmetry group is the Coxeter group . There are two special coord…
Word maps in Kac-Moody setting
Elena Klimenko, Boris Kunyavskii, Jun Morita +1
The paper is a short survey of recent developments in the area of word maps evaluated on groups and algebras. It is aimed to pose questions relevant to Kac--Moody theory.
Simplicity of some twin tree automorphism groups with trivial commutation relations
Jun Morita, Bertrand Rémy
We prove simplicity for incomplete rank 2 Kac-Moody groups over algebraic closures of finite fields with trivial commutation relations between root groups corresponding to prenilpo…