Hopf automorphisms and twisted extensions-Reference-Cited by-同舟云学术

Hopf automorphisms and twisted extensions

Published:2016-03-30 Issue:06 Volume:15 Page:1650103
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

Montgomery Susan¹,Vega Maria D.²,Witherspoon Sarah³

Affiliation:

1. Department of Mathematics, University of Southern California, Los Angeles, CA, USA

2. Department of Mathematics, North Carolina State University, Raleigh, NC, USA

3. Department of Mathematics, Texas A&M University, College Station, TX, USA

Abstract

We give some applications of a Hopf algebra constructed from a group acting on another Hopf algebra [Formula: see text] as Hopf automorphisms, namely Molnar’s smash coproduct Hopf algebra. We find connections between the exponent and Frobenius–Schur indicators of a smash coproduct and the twisted exponents and twisted Frobenius–Schur indicators of the original Hopf algebra [Formula: see text]. We study the category of modules of the smash coproduct.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498816501036

Reference18 articles.

1. On the automorphisms of Uq+(ℊ)

2. Examples of support varieties for Hopf algebras with noncommutative tensor products

3. Crossed Products as Twisted Category Algebras

4. On the Exponent of Finite-Dimensional Hopf Algebras

5. Centers of graded fusion categories

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