A graphical calculus for shifted symmetric functions
Mitchell, Stuart Arpad
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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