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Paper   IPM / M / 15855
School of Mathematics
  Title:   Groups of extended affine Lie type
  Author(s): 
1.  Saeid Azam
2.  Amir Farahmand Parsa
  Status:   Published
  Journal: Publ. RIMS, Kyoto Univ.
  Vol.:  55
  Year:  2019
  Pages:   627-649
  Supported by:  IPM
  Abstract:
We construct certain Steinberg groups associated to extended affine Lie algebras and their root systems. Then by the integration methods of Kac and Peterson for integrable Lie algebras, we associate a group to every tame extended affine Lie algebra. Afterwards, we show that the extended affine Weyl group of the ground Lie algebra can be recovered as a quotient group of two subgroups of the group associated to the underlying algebra similar to Kac–Moody groups.


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