product iamge

Marked Tableaux

This document was uploaded by one of our users. The uploader already confirmed that they had the permission to publish it. If you are author/publisher or own the copyright of this documents, please report to us by using this DMCA report form.

Download
Search on Amazon

Simply click on the Download Book button.

Yes, Book downloads on Ebookily are 100% Free.

Sometimes the book is free on Amazon As well, so go ahead and hit "Search on Amazon"

Author(s): Graham Hawkes
Publisher: University of California, Davis
Year: 2019

Commentary: Downloaded from https://web.archive.org/web/20190927012449/https://www.math.ucdavis.edu/~tdenena/dissertations/201903_Hawkes_Dissertation.pdf
City: Davis

Abstract
Acknowledgments
Chapter 1. Introduction
Chapter 2. Primed and Signed Tableaux of Straight Shape: Double Stanley Symmetric Functions
2.1. Introduction
2.2. Primed Signed Tableaux
2.3. Littlewood-Richardson Rules
2.4. Double Stanley Symmetric Functions
2.5. Signed-insertion
2.6. Conjectures
Chapter 3. Primed and Signed Tableaux of Shifted Shape: Type C Stanley Symmetric Functions
3.1. Introduction
3.2. Crystal isomorphism
3.3. Explicit crystal operators on shifted primed tableaux
3.4. Signed tableaux of shifted shape: Semistandard unimodal tableaux
Chapter 4. Marked Tableaux of Staircase Shape: The Schur function s/
4.1. Introduction
4.2. Definitions
4.3. Results
Chapter 5. Primed Tableaux of Shifted Shape Revisited: Crystal Characterization
5.1. Introduction
5.2. Queer supercrystals
5.3. Local axioms
5.4. Graph on type A components
5.5. Characterization of queer crystals
Appendix A. Appendix 1: Proofs for Type A crystal on primed tableaux
A.1.
A.2.
Appendix B. Appendix 2: Proofs for characterization of queer crystals
B.1.
B.2.
Bibliography