Reflection arrangements and ribbon representations

Ehrenborg and Jung recently related the order complex for the lattice of d-divisible partitions with the simplicial complex of pointed ordered set partitions via a homotopy equivalence. The latter has top homology naturally identified as a Specht module. Their work unifies that of Calderbank, Hanlon, Robinson, and Wachs. By focusing on the underlying geometry, we strengthen and extend these results from type A to all real reflection groups and the complex reflection groups known as Shephard groups.

Description

University of Minnesota Ph.D. dissertation. September 2013. Major: Mathematics. Advisor: Victor Reiner. 1 computer file (PDF); v, 57 pages.

Collections

Dissertations

Suggested citation

Miller, Alexander Rossi. (2013). Reflection arrangements and ribbon representations. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/159853.

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.

University of Minnesota Twin Cities

University Digital Conservancy

Reflection arrangements and ribbon representations

View/Download File

Persistent link to this item

Statistics

Journal Title

Journal ISSN

Volume Title

Title

Authors

Published Date

Publisher

Type

Abstract

Keywords

Description

Related to

Replaces

License

Collections

Series/Report Number

Funding information

Isbn identifier

Doi identifier

Previously Published Citation

Suggested citation