Graded automorphism group of TKK algebra

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	Graded automorphism group of TKK algebra
	Ye, C. F. ; Tan, S. B. ; Tan SB(谭绍滨)
刊名	http://dx.doi.org/10.1007/s11425-007-0199-9
	2008-02
关键词	VERTEX OPERATOR REPRESENTATIONS
英文摘要	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 R-nu (nu >= 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 R-2 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 Z(2)-graded automorphisms of the TKK algebra T(J(S)).
语种	英语
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/66616]
专题	数学科学－已发表论文
推荐引用方式 GB/T 7714	Ye, C. F.,Tan, S. B.,Tan SB. Graded automorphism group of TKK algebra[J]. http://dx.doi.org/10.1007/s11425-007-0199-9,2008.
APA	Ye, C. F.,Tan, S. B.,&谭绍滨.(2008).Graded automorphism group of TKK algebra.http://dx.doi.org/10.1007/s11425-007-0199-9.
MLA	Ye, C. F.,et al."Graded automorphism group of TKK algebra".http://dx.doi.org/10.1007/s11425-007-0199-9 (2008).