An S_3-symmetric Littlewood-Richardson rule

Details An S_3-symmetric Littlewood-Richardson rule An S_3-symmetric Littlewood-Richardson rule

2007-04-06

arxiv.org/abs/0704.0817v1

Math. Res. Lett. 15 (2008), no. 5, 1027--1037

Mathematics

Combinatorics

9 pages

Scientific paper

The classical Littlewood-Richardson coefficients C(lambda,mu,nu) carry a
natural $S_3$ symmetry via permutation of the indices. Our "carton rule" for
computing these numbers transparently and uniformly explains these six
symmetries; previously formulated Littlewood-Richardson rules manifest at most
three of the six.

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