Marked Tableaux

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