Zhu reduction for Jacobi $n$-point functions and applications | Zendy

Kathrin Bringmann | Zendy; Matthew Krauel | Zendy; Michael P. Tuite | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Zhu reduction for Jacobi $n$-point functions and applications

Author(s) -

Kathrin Bringmann,

Matthew Krauel,

Michael P. Tuite

Publication year - 2019

Publication title -

transactions of the american mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.798

H-Index - 100

eISSN - 1088-6850

pISSN - 0002-9947

DOI - 10.1090/tran/8013

Subject(s) - mathematics , jacobi operator , jacobi polynomials , reduction (mathematics) , jacobi method , vertex (graph theory) , jacobi identity , jacobi eigenvalue algorithm , point (geometry) , operator (biology) , pure mathematics , algebra over a field , discrete mathematics , orthogonal polynomials , geometry , graph , biochemistry , chemistry , repressor , lie algebra , transcription factor , gene

We establish precise Zhu reduction formulas for Jacobi $n$-point functions which show the absence of any possible poles arising in these formulas. We then exploit this to produce results concerning the structure of strongly regular vertex operator algebras, and also to motivate new differential operators acting on Jacobi forms. Finally, we apply the reduction formulas to the Fermion model in order to create polynomials of quasi-Jacobi forms which are Jacobi forms.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research