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Yangians associated with Lie superalgebras have many applications in
physics, but their algebraic structure is perhaps not as well understood
as that of Yangians of classical Lie algebras. I will give an algebraic
introduction to the Yangians of the general linear and special linear Lie
superalgebras. In particular I will describe the relationship between the
two and describe the centre of the Yangian Y(gl_{M|N}). This is a
presentation of the results in my PhD thesis completed last year with Alex
Molev.
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