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Showing 2004 · math.COShow all
3 papers · 2 filters
math.CO2004★ 9 cited
Diagonal Temperley-Lieb Invariants and Harmonics
J. -C. Aval, F. Bergeron, N. Bergeron
In the context of the ring Q[x,y], of polynomials in 2n variables x=x1,...,x_n and y=y1,...,yn, we introduce the notion of diagonally quasi-symmetric polynomials. These, also calle…
math.CO2004★ 3 cited
Deformed universal characters for classical and affine algebras
Mark Shimozono, Mike Zabrocki
Creation operators are given for the three distinguished bases of the type BCD universal character ring of Koike and Terada yielding an elegant way of treating computations for all…
math.CO2004★ 1 cited
Inequalities between Littlewood-Richardson Coefficients
Francois Bergeron, Riccardo Biagioli, Mercedes H. Rosas
We prove that a conjecture of Fomin, Fulton, Li, and Poon, associated to ordered pairs of partitions, holds for many infinite families of such pairs. We also show that the bounded…