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- W4300808535 abstract "Let $W_+$ be the positive Witt algebra, which has a $C$-basis ${e_n: n in Z_{geq 1}}$, with Lie bracket $[ e_i, e_j] = (j-i) e_{i+j}$. We study the two-sided ideal structure of the universal enveloping algebra $U(W_+)$ of $W_+$. We show that if $I$ is a (two-sided) ideal of $U(W_+)$ generated by quadratic expressions in the $e_i$, then $U(W_+)/I$ has finite Gelfand-Kirillov dimension, and that such ideals satisfy the ascending chain condition. We conjecture that analogous facts hold for arbitrary ideals of $U(W_+)$, and verify a version of these conjectures for radical Poisson ideals of the symmetric algebra $S(W_+)$." @default.
- W4300808535 created "2022-10-04" @default.
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- W4300808535 date "2017-10-27" @default.
- W4300808535 modified "2023-09-28" @default.
- W4300808535 title "Ideals in the enveloping algebra of the positive Witt algebra" @default.
- W4300808535 doi "https://doi.org/10.48550/arxiv.1710.10029" @default.
- W4300808535 hasPublicationYear "2017" @default.
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