Tensor categories and Hopf algebras : Scientific session of the Mathematical Congress of the Americas, Hopf Algebras and Tensor Categories, July 27-28, 2017, Montreal, Canada

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Tensor categories and Hopf algebras : Scientific session of the Mathematical Congress of the Americas, Hopf Algebras and Tensor Categories, July 27-28, 2017, Montreal, Canada

Nicolás Andruskiewitsch, Dmitri Nikshych, editors

(Contemporary mathematics, 728)

American Mathematical Society, c2019

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Includes bibliographical references

Description and Table of Contents

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.

Table of Contents

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.

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