JournalsprimsVol. 55, No. 3pp. 627–649

Groups of Extended Affine Lie Type

  • Saeid Azam

    University of Isfahan, Iran and Institute for Research in Fundamental Sciences (IPM), Tehran, Iran

  • Amir Farahmand Parsa

    Institute for Research in Fundamental Sciences (IPM), Tehran, Iran
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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.

Cite this article

Saeid Azam, Amir Farahmand Parsa, Groups of Extended Affine Lie Type. Publ. Res. Inst. Math. Sci. 55 (2019), no. 3, pp. 627–649

DOI 10.4171/PRIMS/55-3-5