[1] Liu Linlin, Wang Shuanhong,. Construction of a class of H-pseudoalgebras [J]. Journal of Southeast University (English Edition), 2017, 33 (4): 517-520. [doi:10.3969/j.issn.1003-7985.2017.04.020]
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Construction of a class of H-pseudoalgebras(
)
)Journal of Southeast University (English Edition)[ISSN:1003-7985/CN:32-1325/N]
- Volumn:
- 33
- Issue:
- 2017 4
- Page:
- 517-520
- Research Field:
- Mathematics, Physics, Mechanics
- Publishing date:
- 2017-12-30
Info
- Title:
- Construction of a class of H-pseudoalgebras
- Author(s):
- Liu Linlin; Wang Shuanhong
- School of Mathematics, Southeast University, Nanjing 211189, China
- PACS:
- O153
- DOI:
- 10.3969/j.issn.1003-7985.2017.04.020
- Abstract:
- Let H be a cocommutative Hopf algebra. First, a new class (~overH)-pseudoalgebras of H-pseudoalgebras are defined by changing the regular action(i.e. left multiplication)of H on itself into an adjoint action. Secondly, a class of(H, R)-pseudoalgebras are studied by generalizing the above construction when(H, R)is a quasitriangular Hopf algebra. At the same time, the(H, R)-pseudoalgebra is constructed by both the usual algebra and the tensor product of(H, R)-pseudoalgebras. Finally, some examples of the(H, R)-pseudoalgebra are given explicitly, and the conditions for a Hopf algebra to be an(H, R)-pseudoalgebra(resp. H-pseudoalgebra)are discussed.
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Memo
- Memo:
-
Biographies: Liu Linlin(1990—), female, graduate; Wang Shuanhong(corresponding author), male, doctor, professor, shuanhwang@yahoo.com.
Foundation items: The National Natural Science Foundation of China(No.11371088), the Natural Science Foundation of Jiangsu Province(No.BK20171348).
Citation: Liu Linlin, Wang Shuanhong. Construction of a class of H-pseudoalgebras[J].Journal of Southeast University(English Edition), 2017, 33(4):517-520.DOI:10.3969/j.issn.1003-7985.2017.04.020.