Maps from the enveloping algebra of the positive Witt algebra to regular algebras
classification
🧮 math.RA
keywords
algebrawittalgebrasenvelopingpositiveregularuniversalartin-schelter
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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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