Dept Banner
Dept Banner

Course Descriptions

16:640:555 - Selected Topics in Algebra

James Lepowsky

Subtitle:

Topics in the representation theory of vertex operator algebras

Course Description:

The theory of intertwining operator algebras is central to the representation theory of vertex operator algebras and its applications. We will focus on the illuminating and important special case of abelian intertwining algebras, which is more accessible than the general
case and also has many applications.  We will develop the foundations of the theory in detail, starting with the construction of lattice vertex operator algebras and generalized structures, including twisted modules.

Current research problems will be discussed.

Text:

I. Frenkel, J. Lepowsky and A. Meurman, Vertex Operator Algebras and the Monster, Pure and Applied Math., Vol. 134, Academic Press, Boston, 1988.

C. Dong and J. Lepowsky, Generalized Vertex Algebras and Relative Vertex Operators, Progress in Math., Vol. 112, Birkhauser, Boston,
1993.

Prerequisites:

Some experience with vertex operator algebra theory would be helpful.

Sections Taught This Semester:

For more information on current instructors and sections for this course, please click HERE.

For more information on instructors and sections for this course for other semesters, please see our Teaching Schedule Page

Contact Us

HillCenter small

Department of Mathematics

Department of Mathematics
Rutgers University
Hill Center - Busch Campus
110 Frelinghuysen Road
Piscataway, NJ 08854-8019, USA

Phone: +1.848.445.2390
Fax: +1.732.445.5530