The Modern Representation Theory of the Symmetric Groups

The Modern Representation Theory of the Symmetric Groups

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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 grou...

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Main Author: Cioppa, Timothy
Language:en
Published: 2011
Subjects:
Symmetric groups
representation theory
Vershik Okounkov approach
Young diagrams
Online Access:http://hdl.handle.net/10393/20490
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spelling ndltd-LACETR-oai-collectionscanada.gc.ca-OOU.#10393-204902013-10-04T04:23:02ZThe Modern Representation Theory of the Symmetric GroupsCioppa, TimothySymmetric groupsrepresentation theoryVershik Okounkov approachYoung diagramsThe 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.2011-12-14T19:42:49Z2011-12-14T19:42:49Z20122011-12-14Thèse / Thesishttp://hdl.handle.net/10393/20490en
collection NDLTD
language en
sources NDLTD
topic Symmetric groups
representation theory
Vershik Okounkov approach
Young diagrams
spellingShingle Symmetric groups
representation theory
Vershik Okounkov approach
Young diagrams
Cioppa, Timothy
The Modern Representation Theory of the Symmetric Groups
description 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.
author Cioppa, Timothy
author_facet Cioppa, Timothy
author_sort Cioppa, Timothy
title The Modern Representation Theory of the Symmetric Groups
title_short The Modern Representation Theory of the Symmetric Groups
title_full The Modern Representation Theory of the Symmetric Groups
title_fullStr The Modern Representation Theory of the Symmetric Groups
title_full_unstemmed The Modern Representation Theory of the Symmetric Groups
title_sort modern representation theory of the symmetric groups
publishDate 2011
url http://hdl.handle.net/10393/20490
work_keys_str_mv AT cioppatimothy themodernrepresentationtheoryofthesymmetricgroups
AT cioppatimothy modernrepresentationtheoryofthesymmetricgroups
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