Advanced search options

Advanced Search Options 🞨

Browse by author name (“Author name starts with…”).

Find ETDs with:

in
/  
in
/  
in
/  
in

Written in Published in Earliest date Latest date

Sorted by

Results per page:

You searched for subject:(Schur ring). One record found.

Search Limiters

Last 2 Years | English Only

No search limiters apply to these results.

▼ Search Limiters


University of Colorado

1. Keller, Justin Charles. Generalized Supercharacter Theories and Schur Rings for Hopf Algebras.

Degree: PhD, Mathematics, 2014, University of Colorado

The character theory for semisimple Hopf algebras with a commutative representation ring has many similarities to the character theory of finite groups. We extend the notion of supercharacter theory to this context, and define a corresponding algebraic object that generalizes the Schur rings of the group algebra of a finite group. We show the existence of Hopf-algebraic analogues for the most common supercharacter theory constructions, specifically the wedge product and supercharacter theories arising from the action of a finite group. In regards to the action of the Galois group of the field generated by the entries of the character table, we show the existence of a unique finest supercharacter theory with integer entries, and describe the superclasses for abelian groups and the family GL2(q). Advisors/Committee Members: Nathaniel Thiem, Richard M. Green, Marty Walter, Katherine Stange, James Wilson.

Subjects/Keywords: Hopf algebra; representation theory; Schur ring; supercharacter; Algebra; Mathematics

Record DetailsSimilar RecordsGoogle PlusoneFacebookTwitterCiteULikeMendeleyreddit

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Keller, J. C. (2014). Generalized Supercharacter Theories and Schur Rings for Hopf Algebras. (Doctoral Dissertation). University of Colorado. Retrieved from https://scholar.colorado.edu/math_gradetds/32

Chicago Manual of Style (16th Edition):

Keller, Justin Charles. “Generalized Supercharacter Theories and Schur Rings for Hopf Algebras.” 2014. Doctoral Dissertation, University of Colorado. Accessed October 28, 2020. https://scholar.colorado.edu/math_gradetds/32.

MLA Handbook (7th Edition):

Keller, Justin Charles. “Generalized Supercharacter Theories and Schur Rings for Hopf Algebras.” 2014. Web. 28 Oct 2020.

Vancouver:

Keller JC. Generalized Supercharacter Theories and Schur Rings for Hopf Algebras. [Internet] [Doctoral dissertation]. University of Colorado; 2014. [cited 2020 Oct 28]. Available from: https://scholar.colorado.edu/math_gradetds/32.

Council of Science Editors:

Keller JC. Generalized Supercharacter Theories and Schur Rings for Hopf Algebras. [Doctoral Dissertation]. University of Colorado; 2014. Available from: https://scholar.colorado.edu/math_gradetds/32

.