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Graphical calculus for gl(1|1)-representations and their categorification

Antonio Sartori
(University Bonn)
Wednesday, 11 December, 2013, at 15:15-16:15, in Aud. D3 (1531-215)

Intertwining operators of quantum sl(2)-representations can be used to define the Jones polynomial of links. Similarly, one can define the Alexander polynomial as a quantum invariant using representations of the super Lie algebra gl(1|1).

In the talk, I will present a diagrammatical calculus for tensor representations of gl(1|1) and I will explain how to use it in order to define the Alexander polynomial. I will then sketch a construction of categorification of tensor powers of the vector representation.


Organised by: QGM
Contact person: Jørgen Ellegaard Andersen