Vertex Operator Algebra - Jacobi Identity

Jacobi Identity

The vertex algebras satisfy a generalisation of the Jacobi identity given by:

which can also be written as

where the delta function is defined formally by:

(always expanded in terms of the second variable w)

Read more about this topic:  Vertex Operator Algebra

Famous quotes containing the words jacobi and/or identity:

    “... [the] special relation of women to children, in which the heart of the world has always felt there was something sacred, serves to impress upon women certain tendencies, to endow them with certain virtues ... which will render them of special value in public affairs.”
    —Mary Putnam Jacobi (1842–1906)

    “An identity would seem to be arrived at by the way in which the person faces and uses his experience.”
    —James Baldwin (1924–1987)