Abstract
dc:description.abstract<p>We study the representations of the symmetric group Sn found by acting on</p> <p>labeled graphs and trees with $n$ vertices. Our main results provide</p> <p>combinatorial interpretations that give the number of times the irreducible</p> <p>representations associated with the integer partitions $(n)$ and (1n) appear</p> <p>in the representations. We describe a new sign</p> <p>reversing involution with fixed points that provide a combinatorial</p> <p>interpretation for the number of times the irreducible associated with the</p> <p>integer partition $(n-1, 1)$ appears in the representations.</p>
Degree
thesis:*- Name thesis:degree_name
- MS in Mathematics
- Discipline thesis:degree_discipline
- Mathematics
- Year dc:date.available
- 2022
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Liou, Charlie
- Contributors dc:contributor
-
- Anthony Mendes
- Mathematics
- College of Science and Mathematics
Subjects
dc:subject × 1Identifiers
dc:identifier.*- Identifier
- 10.15368/theses.2022.115
- OAI identifier oai:identifier
- oai:digitalcommons.calpoly.edu:theses-4194