English
 
Help Privacy Policy Disclaimer
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT

Released

Journal Article

On supergroups and their semisimplified representation categories

MPS-Authors
/persons/resource/persons235418

Heidersdorf,  Thorsten
Max Planck Institute for Mathematics, Max Planck Society;

External Resource
Fulltext (restricted access)
There are currently no full texts shared for your IP range.
Supplementary Material (public)
There is no public supplementary material available
Citation

Heidersdorf, T. (2019). On supergroups and their semisimplified representation categories. Algebras and Representation Theory, 22(4), 937-959. doi:10.1007/s10468-018-9806-4.


Cite as: https://hdl.handle.net/21.11116/0000-0004-9C9F-A
Abstract
The representation category A=Rep(G,ϵ) of a supergroup scheme G has a largest proper tensor ideal, the ideal N of negligible morphisms. If we divide A by N we get the semisimple representation category of a pro-reductive supergroup scheme Gred. We list some of its properties and determine Gred in the case GL(m|1).