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, theWitt algebra, and the positiveWitt algebra are neither left nor right noetherian.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 475-509 |
| Number of pages | 35 |
| Journal | Pacific Journal of Mathematics |
| Volume | 284 |
| Issue number | 2 |
| DOIs | |
| State | Published - 2016 |
Keywords
- Artin-Schelter regular
- Jordan plane
- Non-noetherian
- Universal enveloping algebra
- Witt algebra
ASJC Scopus subject areas
- General Mathematics