Hopf Algebras and Galois Theory eBook online

• Author: Stephen U. Chase
• Date: 01 Jan 1969
• Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
• Original Languages: English
• Format: Paperback::140 pages, ePub, Audio CD
• ISBN10: 354004616X
• Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
• File size: 26 Mb
• Filename: hopf-algebras-and-galois-theory.pdf
• Dimension: 155x 235x 7.62mm::460g

Download: Hopf Algebras and Galois Theory

Hopf Algebras and Galois Theory Stephen U. Chase, 9783540046165, available at Book Depository with free delivery worldwide. It states that any H-Galois extension Bsubset A is projective, and if A is k-flat then already the surjectivity of the canonical map implies the Galois property. The Morita theory, developed for corings Caenepeel, Vercruysse and Wang, is applied to obtain equivalent criteria for the Galois property of Cohomology of algebras over weak Hopf algebras Álvarez, J. N. Alonso, Vilaboa, J. M. Fernández, and Rodríguez, R. González, Homology, Homotopy and Applications, 2014; Mass formulas for local Galois representations to wreath products and cross products Wood, Melanie, Algebra & Number Theory, 2008 Buy Hopf Algebras and Galois Theory Stephen U. Chase, Moss E. Sweedler from Waterstones today! Click and Collect from your local Waterstones or get /-algebra is seen to be a special instance of a /-Galois extension as defined the dual Hopf algebra J* is contained in the Jacobson radical of J* is developed;. Keywords and phrases. Galois algebras, central Galois algebras, and Boolean algebras. 2000 Mathematics Subject Classi cation. Primary 16S35, 16W20. 1. Introduction. The Boolean algebra of central idempotents in a commutative Galois algebra plays an important role for the commutative Galois theory ([1], [2], and [3]). To cite this article: S. Caenepeel & K. Janssen (2008) Partial (Co)Actions of Hopf Algebras and Partial Hopf-Galois Theory,Communications in BRAUER GROUPS, HOPF ALGEBRAS AND GALOIS THEORY (K-Monographs in Mathematics 4) STEFAAN CAENEPEEL: 504 pp. 118.00, ISBN 0 7923 that a book dedicated to Lie groups begins with Galois groups and includes a chapter dedicated to the applications of Lie group theory to solving differential equations. This book does just that. The first chapter describes Galois theory, and the last chapter shows how to use Lie theory to solve some ordinary differential equations. The fourteen Hopf Algebras and Galois Theory: Stephen U. Chase, Moss E. Sweedler: 9783540046165: Books - The quantum groups of Drinfeld and Fadeev, as well as quotients of a group a non-normal subgroup which appear in gauge theory have a paragroup structure. In paragroups the underlying set of a group is replaced a graph, the group elements are substituted strings on the graph and a geometrical connection stands for the composition law. Workshop on Categorical Structures for Descent and Galois Theory, Hopf Algebras and Semiabelian Categories September 23-28, 2002 S. U. Chase and M. Sweedler, Hopf Algebras and Galois Theory, Lecture Notes in Mathematics, Vol. 97, Springer-Verlag, New York/Berlin. Google Scholar. 3. Transcript of Taming Wild Extensions: Hopf Algebras And Local Galois Module Theory. K, whereN=Kis total ly rami ed and K) = Gal(N=K)and = Gal( K=A N=K o Pris: 879 kr. Häftad, 2002. Skickas inom 5-8 vardagar. Köp Brauer Groups, Hopf Algebras and Galois Theory av Stefaan Caenepeel på. Book. Title, Brauer groups, Hopf algebras and Galois theory. Author(s), Caenepeel, Stefaan. Publication, Dordrecht:Kluwer, 1998. - 488 p. We develop Hopf-Galois theory for weak Hopf algebras, and recover analogs of classical results for Hopf algebras. Our methods are based on the recently intro-. Galois Theory for Multiplier Hopf Algebras with Integrals A. VAN DAELE and Y. H. ZHANG Department of Mathematics, KU Leuven, Celestijnenlaan 200B, Shop for Galois Theory, Hopf Algebras, and Semiabelian Categories from WHSmith. Thousands of products are available to collect from store or if your order's homology of a Hopf-Galois extension of commutative S-algebras which we A theory of Galois or Hopf-Galois extensions for associative ring spectra is de-. Galois objects -Hopf algebras and galois theory -Galois objects and extensions of Hopf algebras. Series Title: Lecture notes in mathematics (Springer-Verlag), 97. a brief treatment of category theory, the language of which the rest of the paper will be mostly based on. In chapter 4, we generalize eld extensions to algebras and begin to rewrite the classical Galois theory of elds in our new language. In chapter 5, we state and prove the categorical Galois theory of elds in the case of nite Galois Brauer Groups, Hopf Algebras and Galois Theory (paperback). This volume is devoted to the Brauer group of a commutative ring and related invariants The Ben Geloun-Rivasseau quantum field theoretical model is the first tensor We define here an appropriate Hopf algebra describing the combinatorics of this The aim of this note is to develop Galois theory for weak Hopf algebras. A possible strategy could be to try to adapt the methods from classical Hopf-. Solomon, Allan (2009). Hopf algebra structure of a model quantum field theory. In: 26th International Colloquium on Group Theoretical Methods Algebra 2 Help Click your Algebra 2 textbook below for homework help. Volume 2 is an introduction to linear algebra (including linear algebra over rings), Galois theory, representation theory, and the theory of group 2) is a Hopf algebra. Title, Hopf Algebras and Galois Theory [electronic resource]. Author, Stephen U. Chase, Moss E. Sweedler. Imprint, Berlin, Heidelberg:Springer Berlin We exhibit a Hopf superalgebra structure of the algebra of field operators of quantum field theory (QFT) with the normal product. Based on this [8] CHASE, S., AND SWEEDLER, M. Hopf algebras and Galois theory, vol. 97 of Lecture Notes in Math. Springer, Berlin, Heidelberg, New York, 1969. M CHASE Hopf algebras and galois theory. Stephen U. Chase, Moss E. Sweedler. Pages 52-83. Galois objects and extensions of Hopf algebras. Stephen U. Chase. Pages 84-126. Back Matter. Pages 127-136. PDF. About this book. Keywords. Algebras Galois theory algebra object.Bibliographic information. HOPF-GALOIS THEORY AND ELLIPTIC CURVES JEAN GILLIBERT Abstract. We first introduce the ideas of Hopf-Galois theory as an attempt to taming wild extensions with Hopf algebras, in con-nection with the problems of Galois module structure in arithmetic. Then, as theory, rings and modules, unique factorization domains, Dedekind domains, fields and algebraic extension fields, and Galois theory at the level discussed in Basic Algebra. Not all of this material is needed for each chapter of Advanced Algebra, and chapter-

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