Tableaux and noncommutative Schubert polynomials
✍ Scribed by Alain Lascoux; Marcel-Paul Schützenberger
- Book ID
- 105062502
- Publisher
- Springer US
- Year
- 1990
- Tongue
- English
- Weight
- 264 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0016-2663
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
In this paper we extend the work of Fomin and Greene on noncommutative Schur functions by defining noncommutative analogs of Schubert polynomials. If the variables satisfy certain relations (essentially the same as those needed in the theory of noncommutative Schur functions), we prove a Pieri-type
de die a maria Contents. ## Introduction. 1. Divided differences associated with the hyperoctahedral groups. 2. Reproducing kernels and a vanishing property. 3. Action of s on the basis [S + } Q I ] an inductive approach. 4. Action of s on the basis [S + } Q I ] via the vanishing property. ## 5
## Bergeron, N. and A.M. Garsia, Zonal polynomials and domino tableaux, Discrete Mathematics 99 (1992) 3-15. Let H be a subgroup of a finite group G. Define the element 0 of the group algebra d(G) by @= C&H h/lH(. This element is an idempotent which may be used to project from -Pa(G) to the linea
We study Balanced labellings of diagrams representing the inversions in a permutation .