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- 2015
Hom-交叉积的Maschke定理
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Abstract:
摘要: 利用Monoidal Hom-Hopf代数的积分得到了Hom-交叉积的Maschke定理。
Abstract: A Maschke theorem for Hom-crossed products is obtained by Integrals of monoidal Hom-Hopf algebras
[1] | HARTWIG J, LARSSON D. SILVESTO S. Deformations of Lie algebras using <em>σ</em>-Derivations[J]. J Algebra, 2006, 295(2):314-361. |
[2] | MAKHLOUF A, SILVESTO S. Hom-Lie admissible Hom-coalgebras and Hom-Hopf algebras[M]// J Gen Lie Theory in Mathematics, Physics and Beyond. Berlin: Springer-Verlag, 2009: 189-206. |
[3] | YAU D. Hom-bialgebras and comodule algebras[J]. Int Electron J Algebra, 2010, 8(1):45-64. |
[4] | MAKHLOUF A, SILVESTO S. Hom-algebra structures[J]. J Gen Lie Theory, 2008, 3(2):51-64. |
[5] | MAKHLOUF A, SILVESTO S. Hom-algebras and Hom-coalgebras[J]. J Algebra Appl, 2010, 9(4):553-589. |
[6] | YAU D. Hom-algebras and homology[J]. J Gen Lie Theory, 2009, 10(2):409-421. |
[7] | CAENEPEEL S, GOYVAERTS I. Monoidal Hom-Hopf algebras[J]. Comm in Algebra, 2012, 40(6):1933-1950. |
[8] | LU Daowei, WANG Shuanhong. Crossed product and Galois extension of monoidal Hom-Hopf algebras[J/OL]. [2014-05-29]. http://arxiv.org/pdf/1405.7528v1.pdf. |
[9] | CHEN Yuanyuan, WANG Zhongwei, ZHANG Liangyun. Integrals for monoidal Hom-Hopf algebras and their applications[J/OL]. J Math Phys, 2013, 54(7): 073515.[2014-08-22]. http://dx.doi.org/10.1063/1.4813447.DOI: 10.1063/1.4813447. |