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Two Constructions of Hopf Algebroids Based on the FRT Construction and Their Relations
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| Title: | Two Constructions of Hopf Algebroids Based on the FRT Construction and Their Relations |
| Other Titles: | FRT構成法に基づくホップ亜代数の2つの構成法とそれらの関係性 |
| Authors: | 乙戸, 勇大1 Browse this author |
| Authors(alt): | Otsuto, Yudai1 |
| Issue Date: | 24-Mar-2022 |
| Publisher: | Hokkaido University |
| Abstract: | We introduce two constructions of Hopf algebroids as generalizations of the FRT construction. We construct the Hopf algebroid Aσ by using a rigid family σ of elements in an arbitrary algebra L. If L is not Frobenius-separable, then this Hopf algebroid Aσ is not a weak Hopf algebra. The rigid family w of elements in an arbitrary algebra R gives birth to another Hopf algebroid U(w). The setting of this U(w) is similar to that of Hayashi's (Hopf) face algebras A(w) and of Hc(A(w)). We can show that the Hopf algebroid U(w) is a partial generalization of Aσ by constructing a strict Hopf algebroid isomorphism Φ: U(w) → Aσ. |
| Conffering University: | 北海道大学 |
| Degree Report Number: | 甲第14775号 |
| Degree Level: | 博士 |
| Degree Discipline: | 理学 |
| Examination Committee Members: | (主査) 准教授 澁川 陽一, 教授 齋藤 睦, 教授 松本 圭司 |
| Degree Affiliation: | 理学院（数学専攻） |
| Type: | theses (doctoral) |
| URI: | http://hdl.handle.net/2115/85806 |
| Appears in Collections: | 課程博士 (Doctorate by way of Advanced Course) > 理学院(Graduate School of Science)
学位論文 (Theses) > 博士 （理学）
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