原作名: Hopf Algebras and Their Actions on Rings出版年: 2018-8-1页数: 238定价: 99.00元装帧: 精装丛书: 美国数学会经典影印系列ISBN: 9787040502312豆瓣评分 评价人数不足 评价: 写笔记 写书评 加入购书单 分享到 推荐 丛书信息 ··· 美国数学会经典影印系列(共111册),这套丛书还有 《实分析的基本方...
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在Susan Montgomery的《Hopf Algebras and Their Actions on Rings》一书中，章节1.1探讨了余代数的基本概念。1.1.4部分阐述了余代数同态与余理想的性质：如果映射[公式] 满足[公式]和[公式]，表明它是个余代数同态，其交换性体现在[公式]的计算顺序上。子空间[公式]如果满足[公式]和[公式]，则称...
Integrals in Hopf algebras are an essential tool in studying finite dimensional Hopf algebras and their action on rings. Over fields it has been shown by Sweedler that the existence of integrals in a Hopf algebra is equivalent to the Hopf algebra being finite dimensional. In this paper we ...
Hopf algebras and their actions on rings 来自 Semantic Scholar 喜欢 0 阅读量: 579 作者: S Montgomery 摘要: We study actions of a Hopf algebraH on an algebraR such that the action is twisted by an invertible mapσ:HH →R; the biinvertible condition means that these actions also have ...
参考书用的是Susan Montgomery 的《Hopf Algebras and Their Actions on Rings》 1.1.4 余代数同态与余理想 令()(C,ΔC,εC)和()(D,ΔD,εD)是两个余代数. (a)若一个映射f:C→D满足ΔD∘f=(f⊗f)ΔC和εC=εD∘f, 则这个映射f是余代数同态.。即f要满足下面两个交换图: ...
S. Montgomery, Hopf Algebras and their Actions on Rings, in: CBMS Regional Conference Series in Mathematics, vol. 82, Providence, RI, 1993. Google Scholar [18] S. Montgomery Some remarks on filtrations of Hopf algebras Comm. Algebra, 21 (1993), pp. 999-1007 CrossrefView in ScopusGoogle...
Z., Hopf algebra structures on Crossed coproducts, Acta Mathematica Sinica, Chinese Series, 2001, 44(1): 137-148. [9] Montgomery S., Hopf algebras and their actions on rings, CBMS, AMS, 1993, 82. [10] Sweedler M. E., Hopf Algebras, New York: Benjamin, 1969. [11] Nichols W. D...
5、el, Quantum Groups, GTM 155, 1995.参考书目及文献1 Sweedler, M., Hopf Algebras. W.A. Benjamin, Inc. New York, 1969.2 Montgomery, S., Hopf algebras and their actions on rings. CBMS Regional Conference Series in Math. vol. 82. AMS., 1993. xiv+2383 Jantzen, C., Lectures on Quantu...
[2]Montgomery, S.,Hopf algebras and their actions on rings.CBMS Regional Conference Series in Math. vol. 82.AMS.,1993. xiv+238 [3]Jantzen, C., Lectures on Quantum Groups, GSM 6, AMS, 1996. [4] Hong, J. and Kang Seok-Jin, Introduction to Quantum Groups andCrystalBases, GSM 42, ...