Large annihilator category O for sl(infty), o(infty), sp(infty)

Algebra and Lie Groups
Event time: 
Thursday, October 11, 2018 - 4:30pm
LOM 206
Ivan Penkov
Speaker affiliation: 
Jacobs University, Bremen
Event description: 
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.