Left invariant generalized complex and Kahler structures on simply connected four dimensional Lie groups: Classification and invariant cohomologies

JOURNAL OF ALGEBRA

卷:576

Article

Boucetta, Mohamed¹  Mansouri, Mohammed Wadia² 

[1] Univ Cadi Ayyad, Fac Sci & Tech, BP 549, Marrakech, Morocco

[2] Univ Ibno Tofail, Fac Sci, Kenitra, Morocco

关键词: Generalized complex structures;    Generalized Kahler structures;    Lie groups;    Lie algebras;    Dolbeault cohomology;    Bott-Chern cohomology;    Aeppli cohomology;   

DOI  :  10.1016/j.jalgebra.2021.02.016

来源: Elsevier

【 摘 要 】

We give a complete classification of left invariant generalized complex structures of type 1 on four dimensional simply connected Lie groups and we compute for each class its invariant generalized Dolbeault cohomology, its invariant generalized Bott-Chern cohomology and its invariant generalized Aeppli cohomology. We classify also left invariant generalized Kahler structures on four dimensional simply connected Lie groups. (C) 2021 Elsevier Inc. All rights reserved.

【 授权许可】

Free