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The standard involution of SQ(,n)

dc.contributor.advisorRacine, Michel,
dc.contributor.authorEisenhauer, David
dc.date.accessioned2013-11-07T17:24:34Z
dc.date.available2013-11-07T17:24:34Z
dc.date.created2003
dc.date.issued2003
dc.degree.levelMasters
dc.degree.nameM.Sc.
dc.description.abstractOn the rational group algebra QSn , the map given by g* = g -1, for g ∈ Sn, and extended linearly, is an involution. Since QSn is a semisimple algebra, it has a unique decomposition into simple two-sided ideals. We determine, for 3 ≤ n ≤ 5, the restriction of * to these simple two-sided ideals. This is accomplished using a positive definite symmetric bilinear form. Also, we construct a counterexample to part of a theorem found in The Representation Theory of the Symmetric Group by James and Kerber.
dc.format.extent43 p.
dc.identifier.citationSource: Masters Abstracts International, Volume: 42-06, page: 2215.
dc.identifier.urihttp://hdl.handle.net/10393/26479
dc.identifier.urihttp://dx.doi.org/10.20381/ruor-9647
dc.language.isoen
dc.publisherUniversity of Ottawa (Canada)
dc.subject.classificationMathematics.
dc.titleThe standard involution of SQ(,n)
dc.typeThesis

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