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

Susan J. Sierra, Chelsea Walton

Research output: Contribution to journalArticle


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 languageEnglish (US)
Pages (from-to)475-509
Number of pages35
JournalPacific Journal of Mathematics
Issue number2
StatePublished - Jan 1 2016



  • Artin-Schelter regular
  • Jordan plane
  • Non-noetherian
  • Universal enveloping algebra
  • Witt algebra

ASJC Scopus subject areas

  • Mathematics(all)

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