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dc.contributor.supervisorChipalkatti, Jaydeep (Mathematics)en
dc.contributor.authorMohammed, Tagreed
dc.date.accessioned2009-09-04T19:11:28Z
dc.date.available2009-09-04T19:11:28Z
dc.date.issued2009-09-04T19:11:28Z
dc.identifier.urihttp://hdl.handle.net/1993/3190
dc.description.abstractThis thesis is devoted to a problem in the representation theory of the symmetric group over C (the field of the complex numbers). Let d be a positive integer, and let S_d denote the symmetric group on d letters. Given a partition k of d, the Specht module V_k is a finite dimensional vector space over C which admits a natural basis indexed by all standard tableaux of shape k with entries in {1, 2, ..., d}. It affords an irreducible representation of the symmetric group S_d, and conversely every irreducible representation of S_d is isomorphic to V_k for some partition k. Given two Specht modules V_k, V_t their tensor product representation is in general reducible, and hence it splits into a direct sum of irreducibles. This raises the problem of describing the S_d equivariant projection morphisms (alternately called S_d-homomorphisms) in terms of the standard tableaux basis. In this work we give explicit formulae describing this morphism in the following cases: k=(d-1, 1), (d-2, 1,1), (2, 1,... ,1). Finally, we present a conjecture formula for the q-morphism in the case k=(d-r, 1, ..., 1).en
dc.format.extent379353 bytes
dc.format.mimetypeapplication/pdf
dc.language.isoengen_US
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectRepresentationsen
dc.subjectcharactersen
dc.subjectTableauxen
dc.subjectSpecht-morphismsen
dc.subjectEquivariant-morphismsen
dc.subjectQ-formsen
dc.titleEquivariant Projection Morphisms of Specht Modulesen
dc.typeinfo:eu-repo/semantics/masterThesis
dc.typemaster thesisen_US
dc.degree.disciplineMathematicsen_US
dc.contributor.examiningcommitteeKocay, William (Computer Scince) Krause, Guenter (Mathematics) Stokke, Anna (University of Winnipeg)en
dc.degree.levelMaster of Science (M.Sc.)en_US
dc.description.noteMay 2009en


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