Se p 19 99 Vertex operator algebras and the zeta function

نویسنده

  • J Lepowsky
چکیده

We announce a new type of " Jacobi identity " for vertex operator algebras, incorporating values of the Riemann zeta function at negative integers. Using this we " explain " and generalize some recent work of S. Bloch's relating values of the zeta function with the commutators of certain operators and Lie algebras of differential operators.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

ar X iv : q - a lg / 9 50 40 17 v 1 2 4 A pr 1 99 5 Introduction to vertex operator algebras I

The theory of vertex (operator) algebras has developed rapidly in the last few years. These rich algebraic structures provide the proper formulation for the moonshine module construction for the Monster group ([B1-B2], [FLM1], [FLM3]) and also give a lot of new insight into the representation theory of the Virasoro algebra and affine Kac-Moody algebras (see for instance [DL3], [DMZ], [FZ], [W])...

متن کامل

Twisted modules for vertex operator algebras

In this contribution, I explain the general principles of twisted modules for vertex operator algebras in its powerful formulation using formal series, and derive new general relations satisfied by twisted and non-twisted vertex operators. I prove new “equivalence” and “construction” theorems, identifying a very restricted set of sufficient conditions in order to have a twisted module for a ver...

متن کامل

2 1 Ju l 1 99 8 Certain generating subspaces for vertex operator algebras

Minimal generating subspaces of “weak PBW-type” for vertex operator algebras are studied and a procedure is developed for finding such subspaces. As applications, some results on generalized modules are obtained for vertex operator algebras that satisfy a certain condition, and a minimal generating space of weak PBW-type is produced for VL with L any positive-definite even lattice.

متن کامل

A more accurate half-discrete Hardy-Hilbert-type inequality with the best possible constant factor related to the extended Riemann-Zeta function

By the method of weight coefficients, techniques of real analysis and Hermite-Hadamard's inequality, a half-discrete Hardy-Hilbert-type inequality related to the kernel of the hyperbolic cosecant function with the best possible constant factor expressed in terms of the extended Riemann-zeta function is proved. The more accurate equivalent forms, the operator expressions with the norm, the rever...

متن کامل

2 00 3 Formal differential operators , vertex operator algebras and zeta – values , II

We introduce certain correlation functions (graded q–traces) associated to vertex operator algebras and superalgebras which we refer to as n–point functions. These naturally arise in the studies of representations of Lie algebras of differential operators on the circle [22]–[23], [25]. We investigate their properties and consider the corresponding graded q–traces in parallel with the passage fr...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 1999