Hopf Algebras in Noncommutative Geometry and Physics by Stefaan Caenepeel, categorical aspects of Hopf algebras, and recent advances in the theory of corings and quasi-Hopf algebras. It provides examples and basic properties of corings and their comodules in relation to ring and Hopf algebra theory and analyzes entwining structures and. 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 Algebras. This volume contains the proceedings of the scientific session “Hopf Algebras and Tensor Categories”, held from July 27–28, , at the Mathematical Congress of the Americas in Montreal, Canada. Papers highlight the latest advances and research directions in the theory of tensor categories and Hopf algebras. Throughout we work with involutive algebras over the ﬁeld of complex numbers (but the algebraic results remain true for all ﬁelds of characteristic 0). All algebras are associative and have identity, we use the standard Hopf algebra notation and terminology and we always assume that the antipode of a Hopf algebra is bijective.

BOOK ON HOPF ALGEBRAS AND ROOT SYSTEMS | Joint project with Hans-Jürgen Schneider. We introduce Nichols algebras, present important classes of . We give a class of Hopf algebroids associated to module algebras of the Drinfeld doubles of Hopf algebras when the R-matrices act properly. When this construction is applied to quantum groups, we get examples of quantum groupoids, which have Poisson groupoids as their semi-classical limits. This book offers a unified description of Hopf algebras and their generalizations from a category theoretical point of view. The author applies the theory of liftings to Eilenberg–Moore categories to translate the axioms of each considered variant of a bialgebra (or Hopf algebra) to a bimonad (or Hopf monad) structure on a suitable functor. 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. (As for my background, I know abstract algebra, commutative algebra and non-commutative algebra at a basic graduate level, I'm familiar with the basics on representation.

Ten papers from the July congress present advances in the theory of tensor categories motivated by the theory of Hopf algebras and in categorical methods playing a role in Hopf algebra . New Trends in Hopf Algebra Theory About this Title. Nicolás Andruskiewitsch, Walter Ricardo Ferrer Santos and Hans-Jürgen Schneider, Editors. Publication: Contemporary Mathematics Publication Year Volume ISBNs: (print); (online). This new book is a more elementary take on Hopf algebras than the author's previous Introduction to Hopf Algebras, a more advanced approach with an algebraic-geometric flavour. Fundamentals is short and gives more detail than one usually expects, for example in long displayed formulas verifying than certain maps are indeed algebra morphisms. constructive methods of wienner hopf factorization operator theory advances and applications Posted By Ann M. Martin Ltd TEXT ID b2b27 Online PDF Ebook Epub Library constructive methods of wiener hopf factorization operator theory advances and applications volume 21 2 3 pdf drive search and download pdf files for free indeed.