hopf algebra 中文意思是什麼

hopf algebra 解釋
霍普夫代數
  1. We can give different structures on a tensor product h q to make it a bialgebra or hopf algebra. in [ 1 ] radford constructed a hopf algebra a x h with the smash algebra structure and the smash coproduct coalgebra structure, and pointed out that if a bialgebra b has a hopf subalgebra h and a projection ! : b - - > h, then there must be a subalgebra a of b such that b @ a x h is a bialgebra isomorphism

    在張量積hq上可以給出不同的構造，使它成為雙代數或hopf代數， radford在文獻[ 1 ]中構造了以smash積為代數結構，余smash積為余代數結構的hopf代數a h ，並指出若b是雙代數， h是b的子hopf代數，且存在投射： b h （即是雙代數同態，且| _ h = id _ h ） ，則一定存在b的子代數a ，使ba h是雙代數同構。
  2. In the first section, we introduce some knowledge we need in this article. they are the definitions of quasitriangular hopf algebra. triangular hopf algebra. the theorem of the property of their modules category, and the property of r. in the second section

    第一部分中，介紹了本文所需要的預備知識，主要是擬三角、三角hopf代數的定義，他們的模範疇的性質定理，以及r的性質。
  3. The main content of this paper is the cohomologies and extensions over triangular hopf algebra. according to [ l ], we consider the cohomologies and extensions and then the relationships between them in the category of the modules of triangular hopf algebra h. and the category is a symmetry monoidal category

    論文主要考慮的內容是上同調與擴張，根據文獻[ 1 ] ，具體的考慮作為對稱的monoidal范疇的三角hopf代數h的模範疇的上同調與擴張及它們之間的關系。
  4. In this paper we discuss the hopf structure of a class of skew group algebras, characterize some properties of an important skew group algebra

    本文討論了一類斜群代數的hopf結構，刻劃了一個重要的斜群代數的某些性質，得到的主要結果如下：命題1
  5. In section 5, we change the conditions of important theorems which are in section 3 and 4. we prove that the fundamental structure theorem still hold if a is a hopf algebra, and b a cleft comodule algebra or if a is a hopf algebra, and c a cocleft module coalgebra

    第5節主要將第3 ， 4節主要定理的條件改變，分別討論當a是hopf代數， b是cleft余模代數時；和a是hopf代數， c是cleft模余代數時，基本結構定理仍然成立。
  6. Integrality of module algebras over its invariant over weak hopf algebra

    代數的模代數在其不變量上的積分
  7. Structure of weok hopf algebra wslq

    2的代數結構
  8. Furthermore, we induce necessary and sufficient conditions for a # h to be a hopf algebra when h is a hopf algebra

    並進一步，當h是hopf代數時，給出a # h為hopf代數的等價條件。
  9. Constructing new hopf algebras from known hopf algebras is one of the most important problems in hopf algebra theory

    利用已知的hopf代數構造新的hopf代數是hopf理論中的重要研究課題。
  10. Representation and duality of finite hopf c - algebra

    代數的表示與對偶
  11. In section 4, we first show that for two bicomodule algebra a # h and b # h, the cotensor product ( a # h ) h ( b # h ) is still a smash product ( a b ) # h. then we describe the structure on a b and give the corresponding equivalent conditions. in section 5, we will complete the description of the bialgebra structures we have given, and give the equivalent conditions for such bialgebras to be hopf algebras

    在第4部分中，我們得出結論：兩個h -雙余模代數a # h和b # h的余張量積（ a # h ） _ h （ b # h ）仍是smash積（ ab ） # h ，並給出了ab應具有的結構及相應的等價條件。在第5部分中我們得出了a # h上雙代數結構的完整描述，並刻劃了這個雙代數結構何時是一個hopf代數。
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