The Core of a Locally Extended Affine Lie Algebra

Abstract

Locally extended affine Lie algebras are a general version of extended affine Lie algebras. In this article, we completely describe the structure of the core of a locally extended affine Lie algebra. We prove that the core of a locally extended affine Lie algebra is a direct limit of Lie tori.

Key Words:

• Extended affine Lie algebras
• Lie tori and locally extended affine Lie algebras

2000 Mathematics Subject Classification:

• 17B67

ACKNOWLEDGMENT

We thank the antonymous referee(s) for his (her) helpful comments that greatly improved the earlier version of the manuscript.

Notes

Communicated by I. Shestakov.