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arXiv · 2511.02710

Generating functions of $W_{1+\infty}$ action on symmetric functions

Caleb Fernelius·Natasha Rozhkovskaya
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Abstract

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.

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Caleb Fernelius, Natasha Rozhkovskaya. 2026-02-19. Generating functions of $W_{1+\infty}$ action on symmetric functions. https://arxiv.org/abs/2511.02710

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