Hook Formula For Skew Shapes
| dc.contributor.author | Jensen, Megan Lisa | |
| dc.date.accessioned | 2019-08-15T16:39:36Z | |
| dc.date.available | 2019-08-15T16:39:36Z | |
| dc.date.issued | 2019 | en_US |
| dc.description.abstract | The number of standard Young tableaux is given by the hook-length formula of Frame, Robinson, and Thrall. Recently, Naruse found a hook-length formula for the number of skew shaped standard Young tableaux. In a series of papers, Morales, Pak, and Panova prove the Naruse hook-length formula as well as q-analogues of Naruse's formula. In this paper, we will discuss their work, including connections between excited diagrams and Dyck paths. | en_US |
| dc.identifier.uri | https://hdl.handle.net/10365/30217 | |
| dc.publisher | North Dakota State University | en_US |
| dc.subject.lcsh | Young tableaux. | |
| dc.subject.lcsh | Combinatorial analysis. | |
| dc.subject.lcsh | Catalan numbers (Mathematics) | |
| dc.title | Hook Formula For Skew Shapes | en_US |
| dc.type | Master's paper | en_US |
| ndsu.advisor | Striker, Jessica | |
| ndsu.college | Science and Mathematics | en_US |
| ndsu.degree | Master of Science (MS) | en_US |
| ndsu.department | Mathematics | en_US |
| ndsu.program | Mathematics | en_US |
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