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L-R smash products for multiplier Hopf algebras 被引量：2

L-R smash products for multiplier Hopf algebras
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摘要 The theory of L-R smash product is extended to multiplier Hopf algebras and a sufficient condition for L-R smash product to be regular multiplier Hopf algebras is given. In particular, the result of the paper implies Delvaux＇s main theorem in the case of smash products. The theory of L-R smash product is extended to multiplier Hopf algebras and a sufficient condition for L-R smash product to be regular multiplier Hopf algebras is given. In particular, the result of the paper implies Delvaux＇s main theorem in the case of smash products.
作者 ZHAO Li-hui LU Di-ming FANG Xiao-li
机构地区 Dept. of Math. Dept. of Math.
出处 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2008年第1期83-90,共8页 高校应用数学学报（英文版）（B辑）
基金 Supported by the Ningbo Natural Science Foundation(2006A610089)
关键词 multiplier Hopf algebral bimodule bialgebra L-R smash product. multiplier Hopf algebral bimodule bialgebra, L-R smash product.
分类号 O15 [理学—基础数学]
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参考文献1

二级参考文献12

  • 1[1]Bonneau P.,Gerstenhaber M.,Giaquinto A.et al.Quantum groups and deformation quantization:Explicit approaches and implicit aspects.J.Math.Phy.,2004,45:3703-3741.
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  • 3[3]PanaiteF.and Oystaeyen F.V.L-R smash product for (quasi)Hopf algebras.http://xxx.sf.nchc.gov.tw/abs/math.QA /0504386[2005-01-17].
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共引文献19

同被引文献18

  • 1ZHANG Liangyun College of Science, Nanjing Agricultural University, Nanjing 210095, China,Department of Mathematics, Nanjing University, Nanjing 210008, China.Maschke-type theorem and Morita context over weak Hopf algebras[J].Science China Mathematics,2006,49(5):587-598. 被引量：6
  • 2ZHANG Liangyun.L-R smash products for bimodule algebras[J].Progress in Natural Science:Materials International,2006,16(6):580-587. 被引量：20
  • 3BIELIAVSKY P, BONNEAU P, MAEDA Y. Universal deformation formulae, symplectic Lie groups and symmetric spaces[J]. 2003, Math QA/0308189.
  • 4BIELIAVSKY P, BONNEAU P, MAEDA Y. Universal deformation formulae for three-dimensional solvable Lie groups[J]. 2003, Math QA/0308188.
  • 5BONNEAU P, GERSTENHABER M, GEAQUiNTO A, et al. Quantum groups and deformation quantiza- tion: explicit approaches and implicit aspects[J]. 3 Math Phys, 2004, 45: 3703-3741.
  • 6BONNEAU P, STERNHEIMER D. Topological Hopf Algebras, Quantum Qroups and Deformation Quan- tization, in "Hopf Algebras in Noncommutative Geometry and Physics", Lecture Notes in Pure and Appl Math[C]. New York: Marcel Dekker, 2005, 239: 55-70.
  • 7DELVAUX L. Semi-direct products of multiplier Hopf algebras: smash products[J]. Comm Alg, 2002, 30(12): 5961-5977.
  • 8DELVAUX L. Twisted tensor product of multiplier Hopf (*-)algebras[J]. J Alg, 2003, 269:285-316.
  • 9DRABANT B, VAN D A, ZHANG Yimhuo. Actions of multiplier hopf algebras[J]. Comm Alg, 1999, 27(9) 4117-4127.
  • 10DRABANT B, VAN DAELE A. Pairing and quantum double of multiplier Hopf algebras[J]. Algebras and Representation Theory, 2001, 4: 109-132.

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Applied Mathematics(A Journal of Chinese Universities)
2008年 第1期

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