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Plane Partitions in Number Theory and Algebra

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Author(s): Rixon Crane
Series: bachelor thesis at University of Queensland
Edition: version 2018-11-05
Year: 2018

Language: English
Commentary: Downloaded from https://rixonc.github.io/Rixon_Crane_Honours_Thesis.pdf

Integer and Plane Partitions
Integer Partitions
Plane Partitions
Schur Functions
Skew Schur Functions
Root Systems
Root Systems
Classification of Irreducible Root Systems
The Weyl Character Formula
Proof of Theorem 1.2.3
Fock Space and Vertex Operators
Fock Space
Creation and Annihilation Operators
Maya Diagrams
Vertex Operators
Plane Partitions and Vertex Operators