Differential Gerstenhaber algebras associated to nilpotent algebras

Richard Cleyton Yat Sun Poon

Complex Variables and Complex Analysis mathscidoc:1910.43818

Asian Journal of Mathematics, 12, (2), 225-250, 2008
This article provides a complete description of the differential Gerstenhaber algebras of all nilpotent complex structures on any real six-dimensional nilpotent algebra. As an application, we classify all pseudo-Khlerian complex structures on six-dimensional nilpotent algebras whose differential Gerstenhaber algebra is quasi-isomorphic to that of the symplectic structure. In a weak sense of mirror symmetry, this gives a classication of pseudo-Khler structures on six-dimensional nilpotent algebras whose mirror images are themselves.
No keywords uploaded!
[ Download ] [ 2019-10-20 22:11:20 uploaded by ypoon ] [ 64 downloads ] [ 0 comments ]
@inproceedings{richard2008differential,
  title={Differential Gerstenhaber algebras associated to nilpotent algebras},
  author={Richard Cleyton, and Yat Sun Poon},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020221120508781347},
  booktitle={Asian Journal of Mathematics},
  volume={12},
  number={2},
  pages={225-250},
  year={2008},
}
Richard Cleyton, and Yat Sun Poon. Differential Gerstenhaber algebras associated to nilpotent algebras. 2008. Vol. 12. In Asian Journal of Mathematics. pp.225-250. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020221120508781347.
Please log in for comment!
 
 
Contact us: office-iccm@tsinghua.edu.cn | Copyright Reserved