Recent characterizations of Littlewood-Richardson coefficients
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Date
2023
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Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2023.
Abstract
This thesis discusses the latest methods for calculating Littlewood-Richardson coefficients along with their role in the theory of group representations, symmetric functions, and Schubert varieties of Grassmanians. The methods prescribed here are constructed through honeycombs, Berenstein Zelevinky triangles, and hives. The classical approach, which uses Littlewood-Richardson tableaux, is also covered briefly since it allows us to introduce a new algorithm that efficiently calculates a lower bound for non-zero Littlewood-Richardson coefficients.