Stratifications and Mackey functors II: globally defined Mackey functors

Loading...

View/Download File

StratMF2.pdf (554.59 KB)

Persistent link to this item

https://hdl.handle.net/11299/43181

Statistics

View Statistics

Journal Title

Journal ISSN

Volume Title

Title

Stratifications and Mackey functors II: globally defined Mackey functors

Authors

Webb, Peter

Published Date

2008-09-16

Publisher

Type

Preprint

Abstract

We describe structural properties of globally defined Mackey functors related to the stratification theory of algebras. We show that over a field of characteristic zero they form a highest weight category and we also determine precisely when this category is semisimple. This approach is used to show that the Cartan matrix is often symmetric and non-singular, and we are able to compute finite parts of it in some instances. We also develop a theory of vertices of globally defined Mackey functors in the spirit of group representation theory, as well as giving information about extensions between simple functors.

Keywords

group

biset

representation

Mackey functor

Description

Related to

Replaces

License

Collections

Preprints

Series/Report Number

Funding information

Isbn identifier

Doi identifier

Previously Published Citation

Suggested citation

Webb, Peter. (2008). Stratifications and Mackey functors II: globally defined Mackey functors. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/43181.

Content distributed via the University Digital Conservancy may be subject to additional license and use restrictions applied by the depositor. By using these files, users agree to the Terms of Use. Materials in the UDC may contain content that is disturbing and/or harmful. For more information, please see our statement on harmful content in digital repositories.