English

Integral structures in extended affine Lie algebras

Quantum Algebra 2021-06-22 v2

Abstract

We construct certain integral structures for the cores of reduced tame extended affine Lie algebras of rank at least 2. One of the main tools to achieve this is a generalization of Chevalley automorphisms in the context of extended affine Lie algebras. As an application, groups of extended affine Lie type associated to the adjoint representation are defined over arbitrary fields.

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Cite

@article{arxiv.2106.09414,
  title  = {Integral structures in extended affine Lie algebras},
  author = {Saeid Azam and Amir Farahmand Parsa and Mehdi Izadi Farhadi},
  journal= {arXiv preprint arXiv:2106.09414},
  year   = {2021}
}

Comments

45 pages

R2 v1 2026-06-24T03:18:34.306Z