| dc.contributor |
Massachusetts Institute of Technology. Department of Mathematics |
|
| dc.contributor |
Li, Nan |
|
| dc.creator |
Li, Nan |
|
| dc.date |
2016-11-08T19:09:49Z |
|
| dc.date |
2016-11-08T19:09:49Z |
|
| dc.date |
2013-09 |
|
| dc.date |
2012-09 |
|
| dc.date |
2016-08-18T15:42:24Z |
|
| dc.date.accessioned |
2023-03-01T08:36:20Z |
|
| dc.date.available |
2023-03-01T08:36:20Z |
|
| dc.identifier |
0925-9899 |
|
| dc.identifier |
1572-9192 |
|
| dc.identifier |
http://hdl.handle.net/1721.1/105265 |
|
| dc.identifier |
Li, Nan. “A Canonical Expansion of the Product of Two Stanley Symmetric Functions.” Journal of Algebraic Combinatorics 39.4 (2014): 833–851. |
|
| dc.identifier.uri |
http://localhost:8080/xmlui/handle/CUHPOERS/277046 |
|
| dc.description |
We study the problem of expanding the product of two Stanley symmetric functions F[subscript w]⋅F[subscript u] into Stanley symmetric functions in some natural way. Our approach is to consider a Stanley symmetric function as a stabilized Schubert F[subscript w] = lim[subscript n →∞] S[subscript 1[superscipt n]x w], and study the behavior of the expansion of S[subscript 1[superscript n] x w]⋅S[subscript 1[superscript n] x u] into Schubert polynomials as n increases. We prove that this expansion stabilizes and thus we get a natural expansion for the product of two Stanley symmetric functions. In the case when one permutation is Grassmannian, we have a better understanding of this stability. We then study some other related stability properties, providing a second proof of the main result. |
|
| dc.format |
application/pdf |
|
| dc.language |
en |
|
| dc.publisher |
Springer US |
|
| dc.relation |
http://dx.doi.org/10.1007/s10801-013-0469-2 |
|
| dc.relation |
Journal of Algebraic Combinatorics |
|
| dc.rights |
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. |
|
| dc.rights |
Springer Science+Business Media New York |
|
| dc.source |
Springer US |
|
| dc.title |
A canonical expansion of the product of two Stanley symmetric functions |
|
| dc.type |
Article |
|
| dc.type |
http://purl.org/eprint/type/JournalArticle |
|