Codimension-two prime ideals of the Witt enveloping algebra

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Let WW be the Witt algebra, let U⁡(W)\operatorname{U}(W) be its universal enveloping algebra, and let πγ\pi_\gamma be the family of representations defined in the paper, with kernels Ker⁡πγ\operatorname{Ker}\pi_\gamma. The Witt codimension-two prime-ideal conjecture. The ideals Ker⁡πγ\operatorname{Ker}\pi_\gamma comprise all prime ideals of U⁡(W)\operatorname{U}(W) of co-Gelfand--Kirillov dimension 22. The paper constructs these ideals and relates them to dimension-two pseudo-orbits, but the asserted classification remains unresolved in the supplied text.

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Primary source

Alexey V. Petukhov and Susan J. Sierra, “The Poisson spectrum of the symmetric algebra of the Virasoro algebra”, arXiv:2106.02565 (2022).

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