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Classification of division Zn-graded alternative algebras

✍ Scribed by Yoji Yoshii

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
208 KB
Volume
256
Category
Article
ISSN
0021-8693

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✦ Synopsis

The octonion torus (or Cayley torus) appears as a coordinate algebra of extended affine Lie algebras of type A 2 and F 4 . A generalized version of the octonion torus, called division Z n -graded alternative algebras, is classified in this paper. Using the result, we can complete the classification of division (A 2 , Z n )-graded Lie algebras, up to central extensions, which are a generalization of the cores of extended affine Lie algebras of type A 2 .

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