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Title: Cylindric symmetric functions and quantum integrable systems
Author: Palazzo, David
ISNI:       0000 0004 7963 0418
Awarding Body: University of Glasgow
Current Institution: University of Glasgow
Date of Award: 2019
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We employ the level-n action of the affine symmetric group to construct cylindric versions of elementary and complete symmetric functions. We identify their expansions in terms of the bases of ordinary elementary and complete symmetric functions with the structure constants of generalised Verlinde algebras. Then we describe statistical vertex models associated to the q-boson model, when evaluated at q=1, and study the interplay between the partition functions of these models and the cylindric symmetric functions introduced above.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
Keywords: QA Mathematics