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Applications of dual equivalence graphs University of Pennsylvania
 

Summary: Applications of dual equivalence graphs
Sami Assaf
University of Pennsylvania
sassaf@math.mit.edu
S. Assaf - Applications of dual equivalence graphs p.1/22
Outline
I. Graphs on tableaux
Crystal graphs
Dual equivalence graphs
II. Symmetric functions
Schur positivity from graphs
LLT and Macdonald polynomials
III. Representation Theory
Weyl groups acting on 0-weight spaces
From crystal graphs to dual equivalence graphs
S. Assaf - Applications of dual equivalence graphs p.2/22
I. Graphs on Tableaux
S. Assaf - Applications of dual equivalence graphs p.3/22
Crystal graphs
In 1990, Kashiwara introduced crystal bases for representations of

  

Source: Assaf, Sami H. - Department of Mathematics, Massachusetts Institute of Technology (MIT

 

Collections: Mathematics