Nilpotent Elements of Vertex Algebras

Details Nilpotent Elements of Vertex Algebras Nilpotent Elements of Vertex Algebras

2011-07-10

arxiv.org/abs/1107.1827v1

Mathematics

Representation Theory

4 pages

Scientific paper

Using the method of commutative algebra, we show that the set $\mathfrak{R}$
of nilpotent elements of a vertex algebra $V$ forms an ideal, and
$V/\mathfrak{R}$ has no nonzero nilpotent elements.

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