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Coordinate Algebras of Extended Affine Lie Algebras of Type A1

✍ Scribed by Yoji Yoshii

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 311 KB
Volume: 234
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.2000.8450

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✦ Synopsis

The cores of extended affine Lie algebras of reduced types were classified except for type A 1 . In this paper we determine the coordinate algebra of extended affine Lie algebras of type A 1 . It turns out that such an algebra is a unital n -graded Jordan algebra of a certain type, called a Jordan torus. We classify Jordan tori and get five types of Jordan tori.

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