This is the first of what will be a sequence of three papers dealing with a generalization of certain parts of the beautiful work of V. Kac on finiteorder automorphisms of finite-dimensional complex simple Lie algebras. Recall that Kac (see [K2, Chap. 8] and [H, Sect. X.5]) built a Lie algebra from
The degeneracy of extended affine Lie algebras
β Scribed by Yun Gao
- Publisher
- Springer
- Year
- 1998
- Tongue
- English
- Weight
- 162 KB
- Volume
- 97
- Category
- Article
- ISSN
- 0025-2611
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π SIMILAR VOLUMES
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 t
Structurable n-tori are nonassociative algebras with involution that generalize the quantum n-tori with involution that occur as coordinate structures of extended a ne Lie algebras. We show that the core of an extended a ne Lie algebra of type BC1 and nullity n is a central extension of the Kantor L