Thursday, October 11, 2018 - 4:30pm
Jacobs University, Bremen
Vera Serganova and I have recently introduced an analog of category O for the three finitary
Lie algebras sl(infty), o(infty), sp(infty). The definition of category O is not obvious in this setting,
and our category consists of “smallest possible” modules. An interesting price to pay is that the Borel
subalgebra involved in the construction is not of Dynkin type. In the talk I will explain that our category is a highest
weight category and will also compute the annihilators in the enveloping algebra of the simple
objects of the category.