The Modern Representation Theory of the Symmetric Groups

The goal of this thesis is to first give an overview of the modern approach, using the paper of A. Vershik and A. Okounkov, to inductively parametrizing all irreducible representations of the symmetric groups. This theory is then used to answer questions concerning to central projections in the group algebra. We index units first by partitions, and then by so called standard tableaux. We also present a new result and discuss future research exploring the connections between this theory and Quantum Information.

Grantor dc:publisher

Université d'Ottawa / University of Ottawa

Year dc:date

2011

Author dc:creator

• Cioppa, Timothy

Contributors dc:contributor

• Collins, Benoit

• Symmetric groups
• representation theory
• Vershik Okounkov approach
• Young diagrams

Language dc:language

en

Identifier

http://dx.doi.org/10.20381/ruor-5098

OAI identifier oai:identifier

oai:ruor.uottawa.ca:10393/20490