Gao, Yun2016-09-202016-09-202016-03-312016-09-20http://hdl.handle.net/10315/32319We 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.enAuthor owns copyright, except where explicitly noted. Please contact the author directly with licensing requests.MathematicsElectronic Thesis or Dissertation2016-09-20Extended affine Lie algebrasImaginary Whittaker modulesGeneralized Heisenberg Lie algebraAffine Lie algebras