Date of Award
2019
Publisher
North Dakota State University
Document Type
Master's Paper
Degree Awarded
Master of Science (MS)
Program
Mathematics
Department
Mathematics
College
Science and Mathematics
Faculty Advisor
Striker, Jessica
Description
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.
Recommended Citation
Jensen, Megan Lisa, "Hook Formula For Skew Shapes" (2019). Mathematics. 45.
https://digitalcommons.ndsu.edu/mathematics/45
Handle Identifier
https://hdl.handle.net/10365/30217