Thesis (Ph. D.)--University of Chicago, Dept. of Mathematics, June 2000. / Includes bibliographical references. Also available on the Internet.

Thesis (Ph.D.)--Memorial University of Newfoundland, 1999. / Bibliography: leaves 119-122.

Thesis (doctoral)--Technische Universiteit Eindhoven, 1989. / Includes indexes. Vita. eContent provider-neutral record in process. Description based on print version record. Includes bibliographical references (p. 117-120).

Thesis (doctoral)--Universität Bonn, 1986. / Includes bibliographical references (p. 141-147).

Thesis (Ph.D.)--York University, 2008. Graduate Programme in Applied Mathematics. / Typescript. Includes bibliographical references (leaves 271-282). Also available on the Internet. MODE OF ACCESS via web browser by entering the following URL: http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&res_dat=xri:pqdiss&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&rft_dat=xri:pqdiss:NR51719

Thesis (Ph. D.)--University of Oregon, 2005. / Typescript. Includes vita and abstract. Includes bibliographical references (leaves 44-45). Also available for download via the World Wide Web; free to University of Oregon users.

Thesis (Ph.D.) - University of Queensland, 2005. / Includes bibliography.

Thesis (Ph. D.)--University of Oregon, 2006. / Typescript. Includes vita and abstract. Includes bibliographical references (leaves - ). Also available for download via the World Wide Web; free to University of Oregon users.

Made available in DSpace on 2016-05-17T16:50:54Z (GMT). No. of bitstreams: 0 Previous issue date: 2007-04-16. Added 1 bitstream(s) on 2016-05-17T16:54:21Z : No. of bitstreams: 1 000855807.pdf: 420265 bytes, checksum: 0d551ee445aae9709b18c8ce3eed7d19 (MD5) / A estrutura das álgebras de Kac-Moody e suas representações constituem o ingrediente básico para a construção de hierarquias integráveis e de suas respectivas soluções solitônicas (obtidas através do método de dressing). Diversos modelos contidos nas hierarquias mKdVeAKNS são discutidos em detalhe e uma nova classe de equações integráveis, correspondente a graus negativos pares da hierarquia mKdV, é proposta. Diferentes soluções e operadores de recursão são construídos para ambas as hierarquias / The structure of Kac-Moody algebras and its representations constitute a basic ingredient for the construction of integrable hierarchies and its soliton solutions (obtained from the dressing method). Several models within the mKdV and KNS hierarchies are discussed in detail and some new integrable equations, corresponding to negative even grades of the mKdV hierarchy, are proposed. Different solutions and recursion operators are constructed for both hierarchies

In this thesis, we study the representation theory of Lie colour algebras. Our strategy follows the work of G. Benkart, C. L. Shader and A. Ram in 1998, which is to use the Brauer algebras which appear as the commutant of the orthosymplectic Lie colour algebra when they act on a k-fold tensor product of the standard representation. We give a general combinatorial construction of highest weight vectors using tableaux, and compute characters of the irreducible summands in some borderline cases. Along the way, we prove the RSK-correspondence for tableaux and the PBW theorem for Lie colour algebras.