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arXiv · 1508.05294

Maps from the enveloping algebra of the positive Witt algebra to regular algebras

Susan J. Sierra·Chelsea Walton
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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.

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Susan J. Sierra, Chelsea Walton. 2015-08-21. Maps from the enveloping algebra of the positive Witt algebra to regular algebras. https://doi.org/10.2140/pjm.2016.284.475

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