|Table of Contents|

[1] Lu Daowei, Wang Shuanhong,. Equivalence of crossed product of linear categoriesand generalized Maschke theorem [J]. Journal of Southeast University (English Edition), 2016, 32 (2): 258-260. [doi:10.3969/j.issn.1003-7985.2016.02.020]

Equivalence of crossed product of linear categoriesand generalized Maschke theorem()

Journal of Southeast University (English Edition)[ISSN:1003-7985/CN:32-1325/N]

2016 2
Research Field:
Mathematics, Physics, Mechanics
Publishing date:


Equivalence of crossed product of linear categoriesand generalized Maschke theorem
Lu Daowei Wang Shuanhong
Department of Mathematics, Southeast University, Nanjing 211189, China
linear category inner action crossed product generalized Maschke theorem
Some sufficient and necessary conditions are given for the equivalence between two crossed product actions of Hopf algebra H on the same linear category, and the Maschke theorem is generalized. Based on the result of the crossed product in the classic Hopf algebra theory, first, let A be a k-linear category and H be a Hopf algebra, and the two crossed products A#σHσH and A#′σH are isomorphic under some conditions. Then, let A#σHσH be a crossed product category for a finite dimensional and semisimple Hopf algebra H. If V is a left A#σHσH-module and WV is a submodule such that W has a complement as a left A-module, then W has a complement as a A#σHσH-module.


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Biographies: Lu Daowei(1987—), male, graduate; Wang Shuanhong(corresponding author), male, professor, shuanhwang2002@yahoo.com.
Foundation items: The National Natural Science Foundation of China(No.11371088), the Natural Science Foundation of Jiangsu Province(No.BK2012736), the Fundamental Research Funds for the Central Universities, the Research Innovation Program for College Graduates of Jiangsu Province(No.KYLX15_0109).
Citation: Lu Daowei, Wang Shuanhong. Equivalence of crossed product of linear categories and generalized Maschke theorem[J].Journal of Southeast University(English Edition), 2016, 32(2):258-260.doi:10.3969/j.issn.1003-7985.2016.02.020.
Last Update: 2016-06-20