QQ客服 官方微博 反馈留言

	Generalized projective representations for sl(n+1)
	Zhao, Y. F. ; Xu, X. P. ; Zhao YF(赵玉芬)
	2011
关键词	Special linear Lie algebra Representation of Lie algebra Characteristic identities
英文摘要	It is well known that n-dimensional projective group gives rise to a non-homogeneous representation of the Lie algebra sl(n + 1) on the polynomial functions of the projective space. Using Shen's mixed product for Witt algebras (also known as Larsson functor), we generalize the above representation of sl(n + 1) to a non-homogeneous representation on the tensor space of any finite-dimensional irreducible gl(n)-module with the polynomial space. Moreover, the structure of such a representation is completely determined by employing projection operator techniques and well-known Kostant's characteristic identities for certain matrices with entries in the universal enveloping algebra. In particular, we obtain a new one parameter family of infinite-dimensional irreducible sl(n + 1)-modules. which are in general not highest-weight type, for any given finite-dimensional irreducible sl(n)-module. The results could also be used to study the quantum field theory with the projective group as the symmetry. (C) 2010 Elsevier Inc. All rights reserved.
语种	英语
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/63530]
专题	化学化工－已发表论文
推荐引用方式 GB/T 7714	Zhao, Y. F.,Xu, X. P.,Zhao YF. Generalized projective representations for sl(n+1)[J],2011.
APA	Zhao, Y. F.,Xu, X. P.,&赵玉芬.(2011).Generalized projective representations for sl(n+1)..
MLA	Zhao, Y. F.,et al."Generalized projective representations for sl(n+1)".(2011).

个性服务

查看访问统计

相关权益政策

暂无数据

收藏/分享

除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。