FREE delivery to all EXCLUSIVE BOOKS stores nationwide. FREE delivery to your door on all orders over R450. Excludes all international deliveries.

Hopf Algebras and Root Systems

Istvan Heckenberger
    Product form
      FORMAT: Hardback
      YOU COULD EARN 0 FUTURE RETAIL DISCOUNTS.

      This product is either out of print or out of stock. Add it to your wishlist and we will automatically let you know if it comes back into stock. Add to Wishlist

      ESTIMATED DELIVERY: Possibly out of print
      BUY NOW PAY LATER
      From R 0.00 per month!
      3x monthly payments of R 0.00 with
      4x fortnightly payments of R 0.00 with

      This product is either out of print or out of stock. Add it to your wishlist and we will automatically let you know if it comes back into stock. Add to Wishlist

      This book is an introduction to Hopf algebras in braided monoidal categories with applications to Hopf algebras in the usual sense. The main goal of the book is to present from scratch and with complete proofs the theory of Nichols algebras (or quantum symmetric algebras) and the surprising relationship between Nichols algebras and generalized root systems. In general, Nichols algebras are not classified by Cartan graphs and their root systems. However, extending partial results in the literature, the authors were able to associate a Cartan graph to a large class of Nichols algebras. This allows them to determine the structure of right coideal subalgebras of Nichols systems which generalize Nichols algebras.As applications of these results, the book contains a classification of right coideal subalgebras of quantum groups and of the small quantum groups, and a proof of the existence of PBW-bases that does not involve case by case considerations. The authors also include short chapter summaries at the beginning of each chapter and historical notes at the end of each chapter. The theory of Cartan graphs, Weyl groupoids, and generalized root systems appears here for the first time in a book form. Hence, the book serves as an introduction to the modern classification theory of pointed Hopf algebras for advanced graduate students and researchers working in categorial aspects and classification theory of Hopf algebras and their generalization.
      Format: Hardback CONTRIBUTORS: Istvan Heckenberger EAN: 9781470452322 COUNTRY: United States PAGES: WEIGHT: 0 g HEIGHT: 254 cm
      PUBLISHED BY: American Mathematical Society DATE PUBLISHED: 2020-04-01 CITY: GENRE: MATHEMATICS / Algebra / General, MATHEMATICS / Geometry / Algebraic WIDTH: 178 cm SPINE:

      Book Themes:

      Algebra, Algebraic geometry

      Customer Reviews

      Be the first to write a review
      0%
      (0)
      0%
      (0)
      0%
      (0)
      0%
      (0)
      0%
      (0)
      Istvan Heckenberger, Philipps Universitat Marburg, Germany.Hans-Jurgen Schneider, Ludwig-Maximilians-Universität München, Mathematisches Institut, München, Germany.
      This book is an introduction to Hopf algebras in braided monoidal categories with applications to Hopf algebras in the usual sense. The main goal of the book is to present from scratch and with complete proofs the theory of Nichols algebras (or quantum symmetric algebras) and the surprising relationship between Nichols algebras and generalized root systems. In general, Nichols algebras are not classified by Cartan graphs and their root systems. However, extending partial results in the literature, the authors were able to associate a Cartan graph to a large class of Nichols algebras. This allows them to determine the structure of right coideal subalgebras of Nichols systems which generalize Nichols algebras.As applications of these results, the book contains a classification of right coideal subalgebras of quantum groups and of the small quantum groups, and a proof of the existence of PBW-bases that does not involve case by case considerations. The authors also include short chapter summaries at the beginning of each chapter and historical notes at the end of each chapter. The theory of Cartan graphs, Weyl groupoids, and generalized root systems appears here for the first time in a book form. Hence, the book serves as an introduction to the modern classification theory of pointed Hopf algebras for advanced graduate students and researchers working in categorial aspects and classification theory of Hopf algebras and their generalization.
      Format: Hardback CONTRIBUTORS: Istvan Heckenberger EAN: 9781470452322 COUNTRY: United States PAGES: WEIGHT: 0 g HEIGHT: 254 cm
      PUBLISHED BY: American Mathematical Society DATE PUBLISHED: 2020-04-01 CITY: GENRE: MATHEMATICS / Algebra / General, MATHEMATICS / Geometry / Algebraic WIDTH: 178 cm SPINE:

      Book Themes:

      Algebra, Algebraic geometry

      Customer Reviews

      Be the first to write a review
      0%
      (0)
      0%
      (0)
      0%
      (0)
      0%
      (0)
      0%
      (0)
      Istvan Heckenberger, Philipps Universitat Marburg, Germany.Hans-Jurgen Schneider, Ludwig-Maximilians-Universität München, Mathematisches Institut, München, Germany.

      Recently viewed products

      Login

      Forgot your password?

      Don't have an account yet?
      Create account