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:

    During the long ages of class rule, which are just beginning to cease, only one form of sovereignty has been assigned to all men—that, namely, over all women. Upon these feeble and inferior companions all men were permitted to avenge the indignities they suffered from so many men to whom they were forced to submit.
    —Mary Putnam Jacobi (1842–1906)

    For the mother who has opted to stay home, the question remains: Having perfected her role as a caretaker, can she abdicate control to less practiced individuals? Having put all her identity eggs in one basket, can she hand over the basket freely? Having put aside her own ambitions, can she resist imposing them on her children? And having set one example, can she teach another?
    Melinda M. Marshall (20th century)