Researcher ORCID Identifier
0009-0007-7831-2636
Graduation Year
2023
Document Type
Open Access Senior Thesis
Degree Name
Bachelor of Science
Department
Mathematics
Reader 1
Michael E. Orrison
Reader 2
Peter O. Kagey
Terms of Use & License Information
Rights Information
2023 Hannah Y Friedman
Abstract
In my thesis, I investigate long increasing subsequences of permutations from two angles. Motivated by studying interpretations of the longest increasing subsequence statistic across different representations of permutations, we investigate the relationship between reduced words for permutations and their RSK tableaux in Chapter 3. In Chapter 4, we use permutations with long increasing subsequences to construct a basis for the space of π-local functions.
Recommended Citation
Friedman, Hannah, "Long Increasing Subsequences" (2023). HMC Senior Theses. 276.
https://scholarship.claremont.edu/hmc_theses/276
Included in
Algebra Commons, Discrete Mathematics and Combinatorics Commons, Harmonic Analysis and Representation Commons
