7 edition of **Theory of Hopf algebras attached to group schemes** found in the catalog.

- 178 Want to read
- 28 Currently reading

Published
**1977**
by Springer-Verlag in Berlin, New York
.

Written in English

- Hopf algebras.,
- Group schemes (Mathematics)

**Edition Notes**

Statement | Hiroshi Yanagihara. |

Series | Lecture notes in mathematics ; 614, Lecture notes in mathematics (Springer-Verlag) ;, 614. |

Classifications | |
---|---|

LC Classifications | QA3 .L28 no. 614, QA251.5 .L28 no. 614 |

The Physical Object | |

Pagination | vii, 308 p. ; |

Number of Pages | 308 |

ID Numbers | |

Open Library | OL4546220M |

ISBN 10 | 0387084444 |

LC Control Number | 77014028 |

An Introduction to Hopf Algebras - Ebook written by Robert G. Underwood. Read this book using Google Play Books app on your PC, android, iOS devices. Download for offline reading, highlight, bookmark or take notes while you read An Introduction to Hopf ://?id. Larson-Sweedler theorem, grouplike elements, and invertible modules in weak Hopf algebras, preprint (), Zhu, Hopf algebras of prime dimension Jan

This is an informal introduction to the theory of quasitriangular Hopf algebras and its connections with physics. Basic properties and applications of Hopf algebras and Yang-Baxter equations are Quantum groups are not groups at all, but special kinds of Hopf algebras of which the most important are closely related to Lie groups and play a central role in the statistical and wave mechanics of Baxter and Yang. Those occurring physically can be studied as essentially algebraic and closely related to the deformation theory of algebras (commutative, Lie, Hopf, and so on).

I was reading Waterhouse's book "Introduction to Affine Group Schemes", when I found, in Chapter 2, an exercise about classification of Affine Group Schemes of Rank 2. I Example of Almost Commutative Hopf Algebras Which Are Not Coquasitriangular. Hopf Algebras of Dimension p2. Support Cones for Infinitesimal Group Schemes. Coalgebras from Formulas. Fourier Theory for Coalgebras, Bicointegrals and Injectivity for Bicomodules. Notes on the Classification of Hopf Algebras of Dimension pq.

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Theory of Hopf Algebras Attached to Group Schemes. Authors; Hiroshi Yanagihara; Book. 5 Citations; k Downloads; Part of the Lecture Notes in Mathematics book series (LNM, volume ) Log in to check access.

Buy eBook. USD Instant download; Readable on all devices Lie algebras attached to group schemes. Hiroshi Yanagihara. Pages Theory of Hopf algebras attached to group schemes. Berlin ; New York: Springer-Verlag, (OCoLC) Material Type: Internet resource: Document Type: Book, Internet Resource: All Authors / Contributors: Hiroshi Yanagihara Get this from a library.

Theory of Hopf algebras attached to group schemes. [Hiroshi Yanagihara] Adjoint representations of group schemes.- Normalizers of Hopf subalgebras and group subschemes.- Centralizers of Hopf subalgebras and group subschemes.- Commutators of Hopf subalgebras and group subschemes.- Lie algebras attached to group schemes.- Left invariant semi-derivations of group varieties.- Algebraic schemes on which a group scheme Genre/Form: Electronic books: Additional Physical Format: Print version: Yanagihara, Hiroshi, Theory of Hopf algebras attached to group :// Cite this chapter as: Yanagihara H.

() Lie algebras attached to group schemes. In: Theory of Hopf Algebras Attached to Group Schemes. Lecture Notes in Mathematics, vol Yanagihara H. () Normalizers of Hopf subalgebras and group subschemes.

In: Theory of Hopf Algebras Attached to Group Schemes. Lecture Notes in Mathematics, vol Let kbe a ﬁeld. Our approach to afﬁne group schemes is eclectic.5 There are three main ways viewing afﬁne group schemes over k: as representable functors from the category of k-algebras to groups; as commutative Hopf algebras over k; as groups in the category of schemes over :// Lecture Notes in Mathematics (共册), 这套丛书还有 《Arithmetique Des Algebres de Quaternions》,《Quantum Stochastic Calculus and Representations of Lie Superalgebras》,《Theory of Hopf Algebras Attached to Group Schemes》,《Algebraic A primer of Hopf algebras Pierre Cartier Institut Math´ematique de Jussieu/CNRS, rue du Chevaleret, F Paris [email protected] Summary.

In this paper, we review a number of basic results about so-called Download PDF: Sorry, we are unable to provide the full text but you may find it at the following location(s): (external link) Algebraization, Transcendence, and D-Group Schemes Bost, Jean-Benoît, Notre Dame Journal of Formal Logic, ; Group algebras and normal basis problem Suwa, Noriyuki, Tohoku Mathematical Journal, ; Finite generation of the cohomology of some skew group algebras Nguyen, Van and Witherspoon, Sarah, Algebra & Number Theory, ; On the Galois and flat cohomology of unipotent Theory of Hopf algebras attached to group schemes フォーマット: 図書 責任表示: Hiroshi Yanagihara 言語: 英語 出版情報: Berlin ; New York: Springer-Verlag, 形態: vii, p.

; 25 cm 著者名: 柳原, 弘志() シリーズ名: Lecture notes It uses the newly introduced theory of bi-Frobenius algebras to investigate a notion of group-like algebras and summarizes results on the classification of Hopf algebras of dimension pq.

It also explores pre-Lie, dendriform, and Nichols algebras and discusses support cones for infinitesimal group :// This book provides an introduction to the theory of quantum groups with emphasis on the spectacular connections with knot theory and on Drinfeld's recent fundamental contributions.

The first part presents in detail the quantum groups attached to SL(subscript 2) as well as the basic concepts of the theory of Hopf :// Lecture Notes in Mathematics (共册), 这套丛书还有 《The Minnesota Notes on Jordan Algebras and Their Applications (Lecture Notes in Mathematics)》,《Modular Functions of One Variable VI》,《Theory of Hopf Algebras Attached to Group Schemes Hopf Algebras and Generalizations: AMS Special Session on Hopf Algebras at the Crossroads of Algebra, Category Theory, and Topology, October, Evanston, Illinois Louis H.

Kauffman Hopf algebras have proved to be very interesting structures with deep connections to various areas of mathematics, particularly through quantum ://?id=WeK6CgAAQBAJ.

This observation was used to develop the structure theory of algebraic groups (e.g., reductive, solvable) using the theory of Hopf algebras. In the language of schemes introduced by Grothendieck, one may think of affine Hopf algebras as affine group schemes. It is thus not surprising that much of the work on Hopf algebras in the 70s was The concept of Hopf algebras was first introduced in the theory of algebraic topology but in recent years has been developed by many mathematicians and applied to other areas of mathematics such It uses the newly introduced theory of bi-Frobenius algebras to investigate a notion of group-like algebras and summarizes results on the classification of Hopf algebras of dimension pq.

It also explores pre-Lie, dendriform, and Nichols algebras and discusses support cones for infinitesimal group ://. Adopting a panoramic viewpoint, this book offers an introduction to four different flavors of representation theory: representations of algebras, groups, Lie algebras, and Hopf algebras.

A separate part of the book is devoted to each of these areas and they are all treated in sufficient depth to enable and hopefully entice the reader to pursue William M.

Singer's theory of extensions of connected Hopf algebras is used to give a complete list of the cocommutative connected Hopf algebras over a field of positive characteristic p which Request PDF | Invariants of finite Hopf algebras | This paper extends classical results in the invariant theory of finite groups and finite group schemes to the actions of finite Hopf algebras on