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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2511.02710 |
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| _version_ | 1866914339051536384 |
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| author | Fernelius, Caleb Rozhkovskaya, Natasha |
| author_facet | Fernelius, Caleb Rozhkovskaya, Natasha |
| contents | We describe the action of the infinite-dimensional Lie algebra $W_{1+\infty}$ and its B-type analogue on Schur and Schur Q-functions, respectively, using formal distributions framework. We observe an interesting self-duality property possessed by these compact formulas. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_02710 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Generating functions of $W_{1+\infty}$ action on symmetric functions Fernelius, Caleb Rozhkovskaya, Natasha Combinatorics Mathematical Physics Representation Theory We describe the action of the infinite-dimensional Lie algebra $W_{1+\infty}$ and its B-type analogue on Schur and Schur Q-functions, respectively, using formal distributions framework. We observe an interesting self-duality property possessed by these compact formulas. |
| title | Generating functions of $W_{1+\infty}$ action on symmetric functions |
| topic | Combinatorics Mathematical Physics Representation Theory |
| url | https://arxiv.org/abs/2511.02710 |