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Virginia Tech
Miki Images of Quantum Toroidal Algebra Generators in the Shuffle Algebra
Abstract
dc:description.abstractThrough composition of isomorphisms from results by Miki and Negut, this paper seeks to simplify calculations of the images of generators of the quantum toroidal algebra. We will be working in the small shuffle algebra, which is isomorphic to the positive part of the quantum toroidal algebra. There, we will be computing commutators, which are equal to images under the Miki automorphism, though are much simpler to compute.
Degree
thesis:*- Name thesis:degree_name
- Master of Science
- Level thesis:degree_level
- masters
- Discipline thesis:degree_discipline
- Mathematics
- Department dc:contributor.department
- Mathematics
- Grantor dc:publisher
- Virginia Tech
- Year dc:date.issued
- 2020
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Quinlan, Isis Angelina Marie
- Chair dc:contributor.committeechair
-
- Orr, Daniel D.
- Committee members dc:contributor.committeemember
-
- Shimozono, Mark M.
- Matthews, Gretchen L.
Subjects
dc:subject × 1Rights
dc:rights- Statement dc:rights
-
- In Copyright
- Licence dc:rights.uri
Identifiers
dc:identifier.*- Dc Identifier Other
- vt_gsexam:26119
- OAI identifier oai:identifier
- oai:vtechworks.lib.vt.edu:10919/98753