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Faculty of Graduate Studies and Research, University of Regina
Decomposition of Certain Representations Into A Direct Sum of Indecomposable Representations
Abstract
dc:description.abstractRepresentations of quivers and posets are produced by persistent homology. It is possible to decompose such representations into direct sums of indecomposable representations. The indecomposable representations of quivers and posets that arise from one dimensional persistent homology are well understood. However, the same is not true for multidimensional persistent homology. This thesis finds such a list of indecomposable representations for a very simple case of a poset that can arise from multidimensional persistent homology, and proves that it is possible to decompose a representation of such a poset into a direct sum of these indecomposables.
Degree
thesis:*- Name thesis:degree_name
- Master of Science (MSc)
- Level thesis:degree_level
- Master's
- Discipline thesis:degree_discipline
- Mathematics
- Grantor dc:publisher
- Faculty of Graduate Studies and Research, University of Regina
- Year dc:date.issued
- 2019
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Zhang, Yihui
- Advisor dc:contributor.advisor
-
- Stanley, Donald
- Committee members dc:contributor.committeemember
-
- Herman, Allen
- Frankland, Martin
Rights
- Language dc:language.iso
- en
Identifiers
dc:identifier.*- OAI identifier oai:identifier
- oai:uregina.scholaris.ca:10294/9033