Beyond Borcherds Lie algebras and inside

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	Beyond Borcherds Lie algebras and inside
	Berman, S. ; Jurisich, E. ; Tan, S. B. ; Tan SB(谭绍滨)
刊名	http://dx.doi.org/10.1090/S0002-9947-00-02582-4
	2001
关键词	KAC-MOODY ALGEBRAS INTERSECTION MATRIX ALGEBRAS FINITE ROOT SYSTEMS MONSTER
英文摘要	We give a definition for a new class of Lie algebras by generators and relations which simultaneously generalize the Borcherds Lie algebras and the Slodowy G.I.M. Lie algebras. After proving these algebras are always subalgebras of Borcherds Lie algebras, as well as some other basic properties, we give a vertex operator representation for a factor of them. We need to develop a highly non-trivial generalization of the square length two cut off theorem of Goddard and Olive to do this.
语种	英语
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/66624]
专题	数学科学－已发表论文
推荐引用方式 GB/T 7714	Berman, S.,Jurisich, E.,Tan, S. B.,et al. Beyond Borcherds Lie algebras and inside[J]. http://dx.doi.org/10.1090/S0002-9947-00-02582-4,2001.
APA	Berman, S.,Jurisich, E.,Tan, S. B.,&谭绍滨.(2001).Beyond Borcherds Lie algebras and inside.http://dx.doi.org/10.1090/S0002-9947-00-02582-4.
MLA	Berman, S.,et al."Beyond Borcherds Lie algebras and inside".http://dx.doi.org/10.1090/S0002-9947-00-02582-4 (2001).