| Autor: |
Ye, CongFeng, Tan, ShaoBin |
| Zdroj: |
Science in China. Series A: Mathematics, Physics & Astronomy; Feb2008, Vol. 51 Issue 2, p161-168, 8p |
| Abstrakt: |
The classification of extended affine Lie algebras of type A 1 depends on the Tits-Kantor-Koecher (TKK) algebras constructed from semilattices of Euclidean spaces. One can define a unitary Jordan algebra J( S) from a semilattice S of ℝv ( v ≥ 1), and then construct an extended affine Lie algebra of type A 1 from the TKK algebra T( J( S)) which is obtained from the Jordan algebra J( S) by the so-called Tits-Kantor-Koecher construction. In ℝ2 there are only two non-similar semilattices S and S’, where S is a lattice and S’ is a non-lattice semilattice. In this paper we study the ℤ2-graded automorphisms of the TKK algebra T( J( S)). [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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