Algebra, Logic and Topology

 

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Title
Linear equivalent and identical Young tableau bijections for the conjugation symmetry of Littlewood-Richardson coefficients

Abstract
Benkart, Sottile, Stroomer and Fulton have completely characterized a Young tableau bijection for the conjugation symmetry of the Littlewood-Richardson coefficients $c_{\mu,\nu}^{\gamma}=c_{\mu^t,\nu^t}^{\gamma^t}$ by Knuth and dual Knuth equivalence. Tableau-switching, the White map and the Hanlon-Sundaram map are versions of this bijection. It this talk another version is presented. Then the question addressed by Pak and Vallejo whether these bijections are linear equivalent is discussed.

Areas of interest
Seminar of the research project ASA - Automata, Semigroups and Applications

Speaker(s)
Ricardo Mamede (CMUC/Mat. FCTUC)

Date
February 29, 2008

Time
15.30

Room
Sala 5.5

 
     
 

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