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)
“Having an identity at work separate from an identity at home means that the work role can help absorb some of the emotional shock of domestic distress. Even a mediocre performance at the office can help a person repair self-esteem damaged in domestic battles.”
—Faye J. Crosby (20th century)