Maps from the enveloping algebra of the positive Witt algebra to regular algebras
arXiv:1508.05294 · doi:10.2140/pjm.2016.284.475
Abstract
We construct homomorphisms from the universal enveloping algebra of the positive (part of the) Witt algebra to several different Artin-Schelter regular algebras, and determine their kernels and images. As a result, we produce elementary proofs that the universal enveloping algebras of the Virasoro algebra, the Witt algebra, and the positive Witt algebra are neither left nor right noetherian.
25 pages. Remarks 3.8, 3.14, 5.15 are new. To appear in Pacific J. Math