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Home >> Seminar
 Imaginary Whittaker modules for a class of extended affine Lie algebras ³Âºé¼Ñ(ÖÐ¹ú¿ÆÑ§¼¼Êõ´óÑ§£¬ÇàÄêÇ§ÈË) Monday, January 1st, 2018, 9:30 AM  »ª¶«Ê¦·¶´óÑ§ ÕªÒª£ºIn 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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