
Tensor Categories and Hopf Algebras
American Mathematical Society (Publisher)
Published on 30. May 2019
Book
Paperback/Softback
201 pages
978-1-4704-4321-4 (ISBN)
Description
This volume contains the proceedings of the scientific session ``Hopf Algebras and Tensor Categories'', held from July 27-28, 2017, 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. Primary topics include classification and structure theory of tensor categories and Hopf algebras, Gelfand-Kirillov dimension theory for Nichols algebras, module categories and weak Hopf algebras, Hopf Galois extensions, graded simple algebras, and bialgebra coverings.
Papers highlight the latest advances and research directions in the theory of tensor categories and Hopf algebras. Primary topics include classification and structure theory of tensor categories and Hopf algebras, Gelfand-Kirillov dimension theory for Nichols algebras, module categories and weak Hopf algebras, Hopf Galois extensions, graded simple algebras, and bialgebra coverings.
More details
Series
Language
English
Place of publication
Providence
United States
Target group
Professional and scholarly
Dimensions
Height: 254 mm
Width: 178 mm
Weight
293 gr
ISBN-13
978-1-4704-4321-4 (9781470443214)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Persons
Nicolas Andruskiewitsch, Universidad Nacional de Cordoba, Argentina.
Dmitri Nikshych, University of New Hampshire, Durham, NH.
Dmitri Nikshych, University of New Hampshire, Durham, NH.
Content
N. Andruskiewitsch, I. Angiono, and I. Heckenberger, On finite GK-dimensional Nichols algebras of diagonal type
Y. Bahturin and M. Kochetov, On nonassociative graded-simple algebras over the field of real numbers
M. Beattie, G. A. Garcia, S.-H. Ng, and J. Roat, Nonsemisimple Hopf algebras of dimension $8p$ with the Chevalley property
C.-G. Bontea and D. Nikshych, Pointed braided tensor categories
P. Etingof and G. Schaumann, Eigenvalues of the squared antipode in finite dimensional weak Hopf algebras
J.-W. He and Y. Zhang, Cohen-Macaulay invariant subalgebras of Hopf dense Galois extensions
A. Lauve and M. Mastnak, Bialgebra coverings and transfer of structure
D. Nikshych, Classifying braidings of fusion categories
V. Ostrik, Remarks on global dimensions of fusion categories
C. Vay, On Hopf algebras with triangular decomposition.
Y. Bahturin and M. Kochetov, On nonassociative graded-simple algebras over the field of real numbers
M. Beattie, G. A. Garcia, S.-H. Ng, and J. Roat, Nonsemisimple Hopf algebras of dimension $8p$ with the Chevalley property
C.-G. Bontea and D. Nikshych, Pointed braided tensor categories
P. Etingof and G. Schaumann, Eigenvalues of the squared antipode in finite dimensional weak Hopf algebras
J.-W. He and Y. Zhang, Cohen-Macaulay invariant subalgebras of Hopf dense Galois extensions
A. Lauve and M. Mastnak, Bialgebra coverings and transfer of structure
D. Nikshych, Classifying braidings of fusion categories
V. Ostrik, Remarks on global dimensions of fusion categories
C. Vay, On Hopf algebras with triangular decomposition.