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Imaginary Whittaker modules for a class of extended affine Lie algebras

Thursday, October 19th, 2017, 1:30 PM  数学系126室
摘要:In this talk, we first discuss the classifications of irreducible Whittaker modules for the generalized Heisenberg Lie algebra t and of irreducible Whittaker modules for the extended Lie algebra $\bar{t}$ obtained by adjoining degree derivations $d_1$, $d_2$, . . . , $d_m$ 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 $\mathbb{Z}$-independent level are always irreducible. This is a joint work with Yun Gao and Song Shi.
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