Journal of Lie Theory

no. 1
Towards a Littlewood-Richardson Rule for Kac-Moody Homogeneous Spaces
Journal of Lie Theory, Volume 22 (2012) no. 1, pp. 17-80
We prove a general combinatorial formula yielding the intersection number c(u,v,w) of three particular Λ-minuscule Schubert classes in any Kac-Moody homogeneous space, generalising the Littlewood-Richardson rule. The combinatorics are based on jeu de taquin rectification in a poset defined by the heap of w.
DOI: 10.5802/jolt.660
Classification: 14M15, 14N35
Keywords: Littlewood-Richardson rule, Schubert calculus, Kac-Moody homogeneous spaces, jeu de taquin 
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     author = {P.-E. Chaput and N. Perrin},
     title = {Towards a {Littlewood-Richardson} {Rule} for {Kac-Moody} {Homogeneous} {Spaces}},
     journal = {Journal of Lie Theory},
     pages = {17--80},
     year = {2012},
     volume = {22},
     number = {1},
     doi = {10.5802/jolt.660},
     zbl = {1244.14036},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.660/}
}
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P.-E. Chaput; N. Perrin. Towards a Littlewood-Richardson Rule for Kac-Moody Homogeneous Spaces. Journal of Lie Theory, Volume 22 (2012) no. 1, pp. 17-80. doi: 10.5802/jolt.660

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