Graded automorphism group of TKK algebra

查看全文 作　　者：YE [1]CongFeng;TAN [1]ShaoBin

机构地区：[1]Department of Mathematics,Xiamen University,Xiamen 361005,China

出　　处：《Science China Mathematics》索引2008年第51卷第2期,共8页

基　　金：the National Natural Science Foundation of China (Grant No.10671160) 摘　　要：The classification of extended affine Lie algebras of type A₁ 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 R^v (v≥1),and then construct an extended affine Lie algebra of type A₁ 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)). 关键词：TKK ALGEBRA LIE ALGEBRA GRADED AUTOMORPHISM GROUP

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Graded automorphism group of TKK algebra

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