A graphical calculus for shifted symmetric functions
The goal of this thesis is twofold. The fi rst goal is to describe three categori cations of the algebra of symmetric functions and establish relationships between them all. The second goal is to establish an isomorphism between the centre of Khovanov's Heisenberg category [Kho14] and the algebra of shifted symmetric functions defined by Okounkov and Olshanski [OO97]. This isomorphism lends us a graphical description of some important bases of the algebra of...[Show more]
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