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University of Illinois at Urbana-Champaign
Wreath Macdonald polynomials as eigenstates
Abstract
dc:descriptionWe show that the wreath Macdonald polynomials for \ZZ/\ell\ZZ\wr\Sigman, when naturally viewed as elements in the vertex representation of the quantum toroidal algebra U\qqq,\ddd(\ddot{\mathfrak{sl}}\ell), diagonalize its horizontal Heisenberg subalgebra. Our proof makes heavy use of shuffle algebra methods.
Degree
thesis:*- Name thesis:degree_name
- Ph.D.
- Level thesis:degree_level
- Dissertation
- Discipline thesis:degree_discipline
- Mathematics
- Grantor
- University of Illinois at Urbana-Champaign
- Year dc:date
- 2020
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Wen, Joshua Jeishing
- Contributors dc:contributor
-
- Dodd, Christopher
- Kedem, Rinat
- di Francesco, Philippe
- Katz, Sheldon
Subjects
dc:subject × 2Rights
dc:rights- Statement dc:rights
-
- Copyright 2020 Joshua Wen
- Language dc:language
- en
Identifiers
dc:identifier.*- Handle dc:identifier
- http://hdl.handle.net/2142/108489
- OAI identifier oai:identifier
- oai:www.ideals.illinois.edu:2142/108489