Simple operators and $q$-Whittaker coefficients of power sum symmetric functions
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866910717608722432 |
|---|---|
| author | Ram, Samrith |
| author_facet | Ram, Samrith |
| contents | We give a new proof of a theorem of Bender, Coley, Robbins and Rumsey on counting subspaces with a given profile with respect to a simple operator. Counting such subspaces is equivalent to the problem of determining the $q$-Whittaker coefficients in the expansion of the power sum symmetric function. As a consequence we obtain a result of Chen and Tseng which answers a problem of Niederreiter on splitting subspaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_16485 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Simple operators and $q$-Whittaker coefficients of power sum symmetric functions Ram, Samrith Combinatorics 15B33, 05E05, 05A15, 15A83 We give a new proof of a theorem of Bender, Coley, Robbins and Rumsey on counting subspaces with a given profile with respect to a simple operator. Counting such subspaces is equivalent to the problem of determining the $q$-Whittaker coefficients in the expansion of the power sum symmetric function. As a consequence we obtain a result of Chen and Tseng which answers a problem of Niederreiter on splitting subspaces. |
| title | Simple operators and $q$-Whittaker coefficients of power sum symmetric functions |
| topic | Combinatorics 15B33, 05E05, 05A15, 15A83 |
| url | https://arxiv.org/abs/2411.16485 |