Vertex algebra
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In mathematics, a vertex algebra is a (complex) vector space V with a linear map
and a vacuum vector 
satisfying:
![a(x)\mathbf{1}\in a+V[[x]]x,](../../../math/2/d/6/2d68271d16b3c5605f3bb8673f22dec5.png)
where the binomials above are expanded as formal power series using the binomial expansion convention:
where
Equivalently:
See also: Vertex operator algebra.
[edit] References
- James Lepowsky, Haisheng Li, "Introduction to Vertex Operator Algebras and Their Representations". Progress in mathematics, v. 227. Birkhauser, Boston, MA, 2004.
