Geodesic
The odd Littlewood-Richardson rule
Journal of Algebraic Combinatorics, Tome 37 (2013) no. 4, pp. 777-799.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: In previous work with Mikhail Khovanov and Aaron Lauda we introduced two odd analogues of the Schur functions: one via the combinatorics of Young tableaux (odd Kostka numbers) and one via an odd symmetrization operator. In this paper we introduce a third analogue, the plactic Schur functions. We show they coincide with both previously defined types of Schur function, confirming a conjecture. Using the plactic definition, we establish an odd Littlewood-Richardson rule. We also re-cast this rule in the language of polytopes, via the Knutson-Tao hive model.
Keywords: symmetric functions, Hopf algebras, supalgebra, odd symmetric functions, hives, Littlewood-Richardson, Schubert calculus 
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     title = {The odd {Littlewood-Richardson} rule},
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Ellis, Alexander P. The odd Littlewood-Richardson rule. Journal of Algebraic Combinatorics, Tome 37 (2013) no. 4, pp. 777-799. http://geodesic.mathdoc.fr/item/JAC_2013__37_4_a0/