首页 | 本学科首页   官方微博 | 高级检索  
     


Chains of twists and induced deformations
Authors:V. D. Lyakhovsky  M. A. del Olmo
Affiliation:(1) Department of Theoretical Physics, St.Petersburg State University, St. Petersburg, 198904, Russia;(2) Departamento de Física Teórica, Universidad de Valladolid, Valladolid, E-47011, Spain
Abstract:Chains of extended twists are composed of factors 
$$mathcal{F}_k=Phi_{varepsilon _k}Phi_{mathcal{J}_k}$$
. The set of Jordanian twists {
$$Phi _{mathcal{J}_k } $$
} can be applied to the initial Hopf algebra 
$$Phi _{mathcal{J}_k } cdots Phi _{mathcal{J}_1 } Phi _{mathcal{J}_0 } :mathcal{A} to mathcal{A}_{mathcal{J}_k cdots mathcal{J}_0 }$$
. In this case the remaining (transformed) factors of the chain can serve as extensions for such a multijordanian twist. We study the properties of these generalized extensions and the spectra of deformations of the corresponding Heisenberg-like algebras. The results are explicitly demonstrated for the case when 
$$mathcal{A} = U(sl(N))$$
.
Keywords:
本文献已被 SpringerLink 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号