Groups, rings, Lie and Hopf algebras

by International Workshop "Groups, Rings, Lie and Hopf Algebras" (2001 St. John"s, N.L.)

Publisher: Kluwer Academic Publishers in Dordrecht, Boston

Written in English
Cover of: Groups, rings, Lie and Hopf algebras | International Workshop
Published: Downloads: 253
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Subjects:

  • Group theory -- Congresses.,
  • Rings (Algebra) -- Congresses.,
  • Lie algebras -- Congresses.,
  • Hopf algebras -- Congresses.

Edition Notes

Includes bibliographical references.

Statementedited by Yuri Bahturin.
GenreCongresses.
SeriesMathematics and its applications ;, v. 555, Mathematics and its applications (Kluwer Academic Publishers) ;, v. 555.
ContributionsBakhturin, I͡U︡. A.
Classifications
LC ClassificationsQA174 .I59 2001
The Physical Object
Paginationp. cm.
ID Numbers
Open LibraryOL3684052M
ISBN 101402012209
LC Control Number2003044624

This is a companion volume to the conference in honor of Donald S. Passman held in Madison, Wisconsin in June It contains research papers on Algebras, Group Rings, Hopf Algebras, Invariant Theory, Lie Algebras and their Enveloping Algebras, Noncommutative Algebraic Geometry, Noncommutative Rings, and other mueck-consulting.com papers represent an important part of the latest . Rings, Groups, And Algebras è un libro di Cao X. (Curatore), Liu Shao-Xue (Curatore), Shum Kar-Ping (Curatore), Yang C.C. (Curatore) edito da Crc Press a luglio - EAN puoi acquistarlo sul sito mueck-consulting.com, la grande libreria online. A sentimental journey through representation theory: from finite groups to quivers (via algebras) representations of infinite-dimensional Lie algebras with applications to number theory and physics and representations of quantum groups and rings. CHAPTER 1. The goal of this project is to make it possible for everyone to learn the essential theory of algebraic group schemes (especially reductive groups), Lie algebras, Lie groups, and arithmetic subgroups with the minimum of prerequisites and the minimum of effort.

This seminar will be on Hopf algebras as they occur in topology. We start with necessary preliminaries on bi-algebras and co-algebras and will see the main examples for Hopf algebras; then we investigate some structure theorems and some applications. There is an interesting survey article by mueck-consulting.comr [Ca] describing Hopf algebras in topology. Lie groups. Combining algebra and geometry. Spaces with multiplication of points; Vector spaces with topology; Lie groups and Lie algebras. The Lie algebra of a Lie group; The Lie groups of a Lie algebra; Relationships between Lie groups and Lie algebras; The universal cover of a Lie group; Matrix groups. Lie algebras of matrix groups; Linear. This collection contains papers conceptually related to the classical ideas of Sophus Lie (i.e., to Lie groups and Lie algebras). Obviously, it is impos­ sible to embrace all such topics in a book of reasonable size. The contents of this one reflect the scientific interests of those authors whose. Group cohomology is a powerful tool in group representation theory. To a group action on a vector space, one associates a geometric object called its support variety that is defined using group cohomology. Hopf algebras generalize groups and include many important classes of algebras such as Lie algebras and quantum groups.

Algebraic groups play much the same role for algebraists as Lie groups play for analysts. This book is the first comprehensive introduction to the theory of algebraic group schemes over fields that includes the structure theory of semisimple algebraic groups, and is written in Cited by: VARIETIES FOR MODULES OF FINITE DIMENSIONAL HOPF ALGEBRAS SARAH WITHERSPOON Dedicated to Professor David J. Benson on the occasion of his 60th birthday. Abstract. We survey variety theory for modules of nite dimensional Hopf algebras, recalling some de nitions and basic properties of support and rank varieties where they are known. Special emphasis is given on the relations between these areas and in particular on topics where a mixture of methods (involving these theories) has been used. Some topics of particular interest are: group rings, unit groups, (graded) rings and also various algebraic structures used in the context of the Yang-Baxter Equation.

Groups, rings, Lie and Hopf algebras by International Workshop "Groups, Rings, Lie and Hopf Algebras" (2001 St. John"s, N.L.) Download PDF EPUB FB2

The volume is almost entirely composed of the research and expository papers by the participants of the International Workshop "Groups, Rings, Lie and Hopf Algebras". hopf algebras and their actions on rings Download hopf algebras and their actions on rings or read online books in PDF, EPUB, Tuebl, and Mobi Format.

Click Download or Read Online button to get hopf algebras and their actions on rings book now. This site is like a library, Use search box in the widget to get ebook that you want.

The volume is almost entirely composed of the research and expository papers by the participants of the International Workshop "Groups, Rings, Lie and Hopf Algebras", which was held at the Memorial University of Newfoundland, St.

John's, NF, Canada. The volume is almost entirely composed of the research and expository papers by the participants of the International Workshop "Groups, Rings, Lie and Hopf Algebras", which was held at the Memorial University rings Newfoundland, St.

John's, NF, Canada. All four areas from the title of the workshop are. The International Workshop "Groups, Rings, Lie and Hopf Algebras" was held from May 28 to June 1,at Memorial University of Newfoundland in St. John's, NF, Canada. There were 41 participants from ten countries: Belgium, Brazil, Canada, Germany, Hungary, Italy, Japan, Russia, Slovenia and USA.

Below we give the list of participants. Work on actions of Hopf algebras has unified earlier results on group actions, actions of Lie algebras, and graded algebras. This book brings together many of these recent developments from the viewpoint of the algebraic structure of Hopf algebras and their actions and coactions.

Quantum groups are treated as an important example, rather than Cited by: hopf algebras Groups hopf algebras or read online books in PDF, EPUB, Tuebl, and Mobi Format.

Click Download or Read Online button to get hopf algebras book now. This site is like a library, Use search box in the widget to get ebook that you want. Get this from a library. Algebras, rings, and modules: Lie algebras and Hopf algebras. [Michiel Hazewinkel; Nadezhda Mikhaĭlovna Gubareni; Vladimir V Kirichenko] Actions and coactions of bialgebras and Hopf rings quantum groups GLq(n, C) and multiparameter generalizations quantum # Algebras, rings, and modules: Lie.

A primer of Hopf algebras 3 basis, and the multiplication in Gis extended to kGby linearity. Let also kG be the set of all maps from Gto k; with the pointwise operations of addition and multiplication kG is a commutative algebra, while kGis commutative if, and only if.

This is a companion volume to the conference in honor of Donald S. Passman held in Madison, Wisconsin in June It contains research papers on Algebras, Group Rings, Hopf Algebras, Invariant Theory, Lie Algebras and their Enveloping Algebras, Noncommutative Algebraic Geometry, Noncommutative Rings, and other topics.

I have studied graduate abstract algebra and would like to learn about Hopf algebras and quantum groups. What book or books would you recommend.

Are there other subjects that I should learn first before I begin studying Hopf algebras and quantum groups. Hopf Algebras and Their Actions on Rings, by Susan Montgomery. This one is more about.

Find many great new & used options and get the best deals for Mathematics and Its Applications: Groups, Rings, Lie and Hopf Algebras at the best online prices at. Note that functions on a finite group can be identified with the group ring, though these are more naturally thought of as dual – the group ring consists of finite sums of elements, and thus pairs with functions on the group by evaluating the function on the summed elements.

Cohomology of Lie groups. The cohomology algebra (over a field) of a Lie group is a Hopf algebra: the multiplication. Kimmerle -- On the prime graph of the unit group of integral group rings of finite groups; L. Krop and D. Radford -- Simple modules for the Drinfel'd double of a class of Hopf algebras; A.

Lichtman -- The correspondence between groups and restricted Lie algebras for some relatively free groups. Work on actions of Hopf algebras has unified earlier results on group actions, actions of Lie algebras, and graded algebras. This book brings together many of these recent developments from the viewpoint of the algebraic structure of Hopf algebras and their actions and coactions.

Quantum groups are treated as an important example, rather than. Groups, Rings and Algebras: A Conference in Honor of Donald S. Passman, June, the University of Wisconsin-Madison, Madison, Wisconsin by Contributor: Donald S. Passman. This is a companion volume to the conference in honor of Donald S.

Rings, Hopf Algebras, and Brauer Groups - CRC Press Book Rings, Hopf Algebras, and Brauer Groups 1st Edition. Stefaan Caenepeel, A Verschoren. Paperback $ Hardback $ CRC Press Published February 4, Hopf Algebras.

Hopf Algebras in. Oct 28,  · Reviews: I found that Montgomery's book is an excellent outline of all the topics mentioned and can serve as a useful guide in structuring [a course on Hopf algebras and quantum groups] there is an excellent bibliography the author has performed a highly useful service to.

Buy Groups, Rings and Algebras (Contemporary Mathematics) on mueck-consulting.com FREE SHIPPING on qualified ordersCited by: 2.

Rings, Groups, and Algebras - CRC Press Book Examines important topics in Hopf algebra, representation theory, semigroups, finite groups, homology algebra, module theory, valuation theory, and more." Instructors.

We provide complimentary e-inspection copies of primary textbooks to instructors considering our books for course adoption. We apply it to the representation rings of unitary and symplectic groups to obtain Hopf algebras. We also construct a Heisenberg algebra representation based on the restiction and induction of.

Oct 20,  · Abstract: The main goal of this book is to present an introduction to and applications of the theory of Hopf algebras. The authors also discuss some important aspects of the theory of Lie algebras. I will also take a course on algebraic groups soon and I think it would be helpful to know about Hopf algebras for that.

So I'm looking for a good introductory book on Hopf algebras for self-study and especially for one that has many examples and applications to the two topics mentioned above.

What is an algebraic group over a noncommutative ring. Ask Question A possible definition would be to take a co-group in an appropriate category of noncommutative rings (or algebras), i.e.

an object in such a category of noncommutative rings or algebras that represents a functor from this category into a category of groups (see also S. Dec 01,  · Work on actions of Hopf algebras has unified earlier results on group actions, actions of Lie algebras, and graded algebras.

This book brings together many of these recent developments from the viewpoint of the algebraic structure of Hopf algebras and their actions and coactions. Quantum groups are treated as an important example, rather than 5/5(1). CoNTEMPORARY MATHEMATICS Groups, Rings and Algebras A Conference in Honor of Donald S.

Passman June l Q, on algebras and rings, Hopf algebras and certain algebras arising from the study ring theory, group rings, Hop£ alge-bras, and Lie algebras. He is the author of more than research papers. His. Algebraic Groups The theory of group schemes of finite type over a field. J.S. Milne Version December 20, This is a rough preliminary version of the book published by CUP inThe final version is substantially rewritten, and the numbering has changed.

Scholarly Contributions Scholarly Contributions Journal Articles Books Book Chapters Book Reviews Translations Other Publications Editorial Work Knowledge and Technology Translation Media Relations Pointed Hopf Algebras, and Deformations,", Groups, Rings, Lie and Hopf Algebras II, (Summer - ) Mastnak Mitja.

"Approximate permutability of. New Directions in Hopf Algebras by S. Montgomery, H. Schneider - Cambridge University Press Hopf algebras have important connections to quantum theory, Lie algebras, knot and braid theory, operator algebras, and other areas. The book gives a clear picture of the current trends, with a focus on what will be important in future research.

( views). 16W30 Coalgebras, bialgebras, Hopf algebras (See also 16S40, 57T05); rings, modules, etc. on which these act 22E60 Lie algebras of Lie groups (For the algebraic theory of Lie algebras, see 17Bxx.

Rings, Hopf Algebras, and Brauer Groups: 1st Edition us.Pointed Hopf algebras, finite quantum groups. This work was partially supported by ANPCyT, Agencia C´ordoba Ciencia, CONICET, DAAD, the Graduiertenkolleg of the Math.

Institut (Universit¨at Munc¨ hen) and Secyt (UNC). ing algebras of Lie algebras and the q-deformations of the universal enveloping.The octonions are the largest of the four normed division algebras. The author describes them and their relation to Clifford algebras and spinors, Bott periodicity, projective and Lorentzian geometry, Jordan algebras, and the exceptional Lie groups.

( views) Abstract Algebra: The Basic Graduate Year by Robert B. Ash,