Algebraic Theory of Quasi-crystals: A Generalization of the Hypoplactic Monoid and a Littelmann Path Model

The plactic monoid was first introduced by Lascoux and Schützenberger based on work by Schensted and Knuth, resulting in a description of the plactic monoid by a presentation and by Young tableaux and an insertion algorithm. Then, due to work by Kashiwara on crystal bases, the plactic monoid was obt...

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Bibliographic Details
Main Author: Guilherme, Ricardo Jorge Pratas (author)
Format: doctoralThesis
Language:eng
Published: 2022
Subjects:
quasi-crystal
hypoplactic monoid
Littelmann path model
crystal
plactic monoid
Kashiwara operator
Domínio/Área Científica::Ciências Naturais::Matemáticas
Online Access:http://hdl.handle.net/10362/140587
Country:Portugal
Oai:oai:run.unl.pt:10362/140587

Internet

http://hdl.handle.net/10362/140587

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