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对应于U_q(sl_n)的弱Hopf代数的分类 被引量：3

Classification of Weak Hopf Algebras Corresponding to U_q(sl_n)
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摘要 作者把对应于U_q(sl_n)的弱Hopf代数的结构按代数结构和余代数结构进行分类.对应于U_q(sl_n)的弱Hopf代数的代数结构可以分解为U_q(sl_n)和多项式代数的直和.而对应于U_q(sl_n)的弱Hopf代数的余代数结构可按其Ext箭图进行分类.最后讨论这些代数结构和余代数结构如何可搭配成弱Hopf代数. Weak Hopf algebras corresponding to Uq（sln） constructed by different types of weak extensions have different structures, which are classified by their algebra structures and coalgebra structures. The algebra structures of weak Hopf algebras corresponding to Uq（sln） can be written as a direct sum of Uq（sln） and algebras of polynomials. The coalgebra structures of weak Hopf algebras corresponding to Uq（sln） are classified by their Ext quivers.
作者 程东明
机构地区 河南科技大学数学与统计学院
出处 《数学物理学报（A辑）》 CSCD 北大核心 2012年第3期608-616,共9页 Acta Mathematica Scientia
基金 国家自然科学基金(10571153) 河南科技大学科研基金(2006zy007)和河南科技大学博士科研启动基金(09001213)资助
关键词 弱HOPF代数 分类 分解 Ext箭图 Weak Hopf algebra Classification Decomposition Ext quiver
分类号 O153 [理学—基础数学]
  • 相关文献

参考文献11

  • 1Li F,Duplij S. Weak Hopf algebras and singular solutions of quantum Yang-Baxter equation[J].Communications in Mathematical Physics,2002,(01):192-217.doi:10.1007/s002201000576.
  • 2Aizawa N,Isaac P S. Weak Hopf algebras corresponding to Uq[sln][J].Journal of Mathematical Physics,2003.5250-5267.
  • 3Cheng D,Li F. The structure of weak Hopf algebras corresponding to Uq(sl2)[J].Communications in Algebra,2009.729-742.
  • 4Li F. Weak Hopf algebras and some new solutions of Yang-Baxter equation[J].Journal of Algebra,1998.72-100.
  • 5Li F. Weak Hopf algebras and regular monoids[J].Journal of Mathematical Research and Exposition,1999.325-331.
  • 6Li F. Solutions of Yang-Baxter equation in endomorphism semigroup and quasi-(co)braided almost bialgebras[J].Communications in Algebra,2000.2253-2270.
  • 7Yang S L. Weak Hopf algebras corresponding to Cartan matrices[J].Journal of Mathematical Physics,2005,(073502):1-18.
  • 8Chin W,Montgomery S. Basic Coalgebras[A].Providence,RI:Amer Math Soc,1997.41-47.
  • 9Chin W. A Brief Introduction to Coalgebra Representation Theory[A].New York,USA:Marcel Dekker,Inc,2004.109-131.
  • 10Montgmery S. Indecomposable coalgebras,simple comodules and pointed Hopf algebras[J].Proceedings of the American Mathematical Society,1995.2343-2351.

同被引文献11

  • 1Li F.Weak Hopf Algebras and Some New Solutions of Yang-Baxter Equation[J].J Algebra,1998,208(1):72-100.
  • 2Li F.Weak Hopf Algebras and Regular Monoids[J].J Math Research and Exposition,1999,19(2):325-331.
  • 3Li F.Solutions of Yang-Baxter Equation in Endomorphism Semigroup and Quasi-(co)braided Almost Bialgebras[J].Comm Algebra,2000,28(5):2253-2270.
  • 4Li F,Duplij S.Weak Hopf Algebras and Singular Solutions of Quantum Yang-Baxter Equation[J].Comm Math Phys,2002,225(1):192-217.
  • 5Aizawa N,Isaac P S.Weak Hopf Algebras Corresponding to Uq[sln][J].J Math Phys,2003,44(11):5250-5267.
  • 6Cheng D,Li F.The Structure of Weak Hopf Algebras Corresponding to Uq(sl2)[J].Comm in Algebra,2009,37(3):729-742.
  • 7Cheng D.The Structure of Weak Quantum Groups Corresponding to Sweedler Algebra[J].JP Journal of Algebra,Number Theory and Applications,2010,16(2):89-99.
  • 8Yang S L.Weak Hopf Algebras Corresponding to Cartan Matrices[J].J Math Phys,2005,46(073502):1-18.
  • 9Chin W.A Brief Introduction to Coalgebra Representation Theory[J].Lecture Notes in Pure and Appl Math,2004,237:109-131.
  • 10Chin W,Montgomery S.Basic Coalgebras,in Modular Interfaces[J].AMS/IP Stud Adv Math,1997,4:41-47.

引证文献3

二级引证文献1

数学物理学报（A辑）
2012年 第3期

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