Tensor Products and Support Varieties for Some Noncocommutative Hopf Algebras Academic Article

abstract

• 2017, Springer Science+Business Media B.V. We explore questions of projectivity and tensor products of modules for finite dimensional Hopf algebras. We construct many classes of examples in which tensor powers of nonprojective modules are projective and tensor products of modules in one order are projective but in the other order are not. Our examples are smash coproducts with duals of group algebras, some having algebra and coalgebra structures twisted by cocycles. We apply support variety theory for these Hopf algebras as a tool in our investigations.

authors

• Witherspoon, Sarah

published proceedings

• ALGEBRAS AND REPRESENTATION THEORY

author list (cited authors)

• Plavnik, J. Y., & Witherspoon, S.

citation count

• 5

complete list of authors

• Plavnik, Julia Yael||Witherspoon, Sarah

publication date

• April 2018

publisher

• Springer Nature  Publisher

published in

• Algebras and Representation Theory  Journal

keywords

• Nonsemisimple Hopf Algebra
• Projective Modules
• Smash Coproduct
• Support Varieties

Digital Object Identifier (DOI)

• 10.1007/s10468-017-9713-0

start page

• 259

end page

• 276

volume

• 21

issue

• 2

URL

• http://dx.doi.org/10.1007/s10468-017-9713-0