Abstract
We prove a general combinatorial formula yielding the intersection number c w u,v 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.
| Original language | English |
|---|---|
| Pages (from-to) | 17-80 |
| Number of pages | 64 |
| Journal | Journal of Lie Theory |
| Volume | 22 |
| Issue number | 1 |
| Publication status | Published - 6 Feb 2012 |
| Externally published | Yes |
Keywords
- Jeu de taquin.
- Kac-Moody homogeneous spaces
- Littlewood-Richardson rule
- Schubert calculus