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Imaginary Whittaker Modules For Extended Affine Lie Algebras

Imaginary Whittaker Modules For Extended Affine Lie Algebras

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Title: Imaginary Whittaker Modules For Extended Affine Lie Algebras
Author: Shi, Song
Abstract: We 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.
Subject: Mathematics
Keywords: Extended affine Lie algebras
Imaginary Whittaker modules
Generalized Heisenberg Lie algebra
Affine Lie algebras
Type: Electronic Thesis or Dissertation
Rights: Author owns copyright, except where explicitly noted. Please contact the author directly with licensing requests.
URI: http://hdl.handle.net/10315/32319
Supervisor: Gao, Yun
Degree: PhD - Doctor of Philosophy
Program: Mathematics & Statistics
Exam date: 2016-03-31
Publish on: 2016-09-20

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