Imaginary Whittaker Modules For Extended Affine Lie Algebras

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dc.contributor.advisorGao, Yun
dc.creatorShi, Song
dc.date.accessioned2016-09-20T18:53:44Z
dc.date.available2016-09-20T18:53:44Z
dc.date.copyright2016-03-31
dc.date.issued2016-09-20
dc.date.updated2016-09-20T18:53:43Z
dc.degree.disciplineMathematics & Statistics
dc.degree.levelDoctoral
dc.degree.namePhD - Doctor of Philosophy
dc.description.abstractWe classify irreducible Whittaker modules for generalized Heisenberg Lie algebra t and irreducible Whittaker modules for Lie algebra t obtained by adjoining m degree derivations d1, d2, . . . , dm to t. Using these results, we construct imaginary. Whittaker modules for non-twisted extended affine Lie algebras and prove that the imaginary Whittaker modules of Z-independent level are always irreducible.
dc.identifier.urihttp://hdl.handle.net/10315/32319
dc.language.isoen
dc.rightsAuthor owns copyright, except where explicitly noted. Please contact the author directly with licensing requests.
dc.subjectMathematics
dc.subject.keywordsExtended affine Lie algebras
dc.subject.keywordsImaginary Whittaker modules
dc.subject.keywordsGeneralized Heisenberg Lie algebra
dc.subject.keywordsAffine Lie algebras
dc.titleImaginary Whittaker Modules For Extended Affine Lie Algebras
dc.typeElectronic Thesis or Dissertation

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