Event time:

Thursday, October 11, 2018 - 4:30pm

Location:

LOM 206

Speaker:

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.