Consider a complex classical semisimple Lie group along with the set of its nilpotent coadjoint orbits. When the group is of type A, the set of orbital varieties contained in a given nilpotent orbit is described a set of standard Young tableaux. We parameterize both, the orbital varieties and the ir
Adjacency of Young tableaux and the Springer fibers
✍ Scribed by N. G. J. Pagnon; N. Ressayre
- Publisher
- SP Birkhäuser Verlag Basel
- Year
- 2007
- Tongue
- English
- Weight
- 297 KB
- Volume
- 12
- Category
- Article
- ISSN
- 1022-1824
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📜 SIMILAR VOLUMES
Let T be a standard Young tableau of shape l \* k. We show that the probability that a randomly chosen Young tableau of n cells contains T as a subtableau is, in the limit n Q ., equal to f l /k!, where f l is the number of all tableaux of shape l. In other words, the probability that a large tablea
Recently a relationship was discovered between the number of permutations of \(n\) letters that have no increasing subsequence of length \(>k\), on the one hand, and the number of Young tableaux of \(n\) cells whose first row is of length \(\leq k\), on the other. The proof seemed quite unmotivated