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JCT
2010
94views more  JCT 2010»
13 years 6 months ago
Growth diagrams for the Schubert multiplication
We present a partial generalization to Schubert calculus on flag varieties of the classical Littlewood-Richardson rule, in its version based on Sch¨utzenberger’s jeu de taquin....
Cristian Lenart
JCT
2010
87views more  JCT 2010»
13 years 6 months ago
Bijections between pattern-avoiding fillings of Young diagrams
The pattern-avoiding fillings of Young diagrams we study arose from Postnikov’s work on positive Grassman cells. They are called Γ -diagrams, and are in bijection with decorate...
Matthieu Josuat-Vergès
JCT
2010
112views more  JCT 2010»
13 years 6 months ago
More on block intersection polynomials and new applications to graphs and block designs
The concept of intersection numbers of order r for t-designs is generalized to graphs and to block designs which are not necessarily t-designs. These intersection numbers satisfy ...
Leonard H. Soicher
JCT
2010
63views more  JCT 2010»
13 years 6 months ago
Cyclic sieving, promotion, and representation theory
We prove a collection of conjectures of D. White [37], as well as some related conjectures of Abuzzahab-Korson-Li-Meyer [1] and of Reiner and White [21], [37], regarding the cyclic...
Brendon Rhoades
JCT
2010
81views more  JCT 2010»
13 years 6 months ago
q-Partition algebra combinatorics
We study a q-analog Qr(n, q) of the partition algebra Pr(n). The algebra Qr(n, q) arises as the centralizer algebra of the finite general linear group GLn(Fq) acting on a vector ...
Tom Halverson, Nathaniel Thiem