Support varieties and representation type of self-injective algebras Academic Article

abstract

• We use the theory of varieties for modules arising from Hochschild cohomology to give an alternative version of the wildness criterion of Bergh and Solberg [7]: If a finite dimensional self-injective algebra has a module of complexity at least 3 and satisfies some finiteness assumptions on Hochschild cohomology, then the algebra is wild. We show directly how this is related to the analogous theory for Hopf algebras that we developed in [23]. We give applications to many different types of algebras: Hecke algebras, reduced universal enveloping algebras, small half-quantum groups, and Nichols (quantum symmetric) algebras. 2011, International Press.

authors

• Witherspoon, Sarah

published proceedings

• Homology Homotopy and Applications

author list (cited authors)

• Feldvoss, J., & Witherspoon, S.

citation count

• 4

complete list of authors

• Feldvoss, Jörg||Witherspoon, Sarah

publication date

• December 2011

publisher

• International Press of Boston  Publisher

published in

• Homology, Homotopy and Applications  Journal

keywords

• 49 Mathematical Sciences
• 4904 Pure Mathematics

Digital Object Identifier (DOI)

• 10.4310/hha.2011.v13.n2.a13

start page

• 197

end page

• 215

volume

• 13

issue

• 2

URL

• http://dx.doi.org/10.4310/hha.2011.v13.n2.a13