IRREDUCIBLE REPRESENTATIONS FOR THE BABY TITS-KANTOR-KOECHER ALGEBRA

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	IRREDUCIBLE REPRESENTATIONS FOR THE BABY TITS-KANTOR-KOECHER ALGEBRA
	Kong, X. L. ; Tan, S. B. ; Tan SB(谭绍滨)
刊名	http://dx.doi.org/10.1080/00927870903049191
	2010
关键词	AFFINE LIE-ALGEBRAS VERTEX OPERATOR REPRESENTATIONS DIMENSIONAL WEIGHT SPACES QUANTUM TORI INTEGRABLE MODULES TKK ALGEBRAS CLASSIFICATION
英文摘要	National Natural Science Foundation of China [10931006]; The baby Tits-Kantor-Koecher (TKK) algebra constructed from the smallest (nonlattice) semilattice is related to the "smallest" extended affine Lie algebras other than the finite dimensional simple Lie algebras and the affine Kac-Moody algebras. In this article, we classify the finite dimensional irreducible representations for the baby TKK algebra. It turns out that such representations can be lifted from modules of direct sums of finitely many copies of the simple Lie algebra sp(4)(C).
语种	英语
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/66598]
专题	数学科学－已发表论文
推荐引用方式 GB/T 7714	Kong, X. L.,Tan, S. B.,Tan SB. IRREDUCIBLE REPRESENTATIONS FOR THE BABY TITS-KANTOR-KOECHER ALGEBRA[J]. http://dx.doi.org/10.1080/00927870903049191,2010.
APA	Kong, X. L.,Tan, S. B.,&谭绍滨.(2010).IRREDUCIBLE REPRESENTATIONS FOR THE BABY TITS-KANTOR-KOECHER ALGEBRA.http://dx.doi.org/10.1080/00927870903049191.
MLA	Kong, X. L.,et al."IRREDUCIBLE REPRESENTATIONS FOR THE BABY TITS-KANTOR-KOECHER ALGEBRA".http://dx.doi.org/10.1080/00927870903049191 (2010).