Invariants for finite dimensional groups in vertex operator algebras associated to basic representations of affine algebras

Baker, A. and Tamanoi, H. (2001) Invariants for finite dimensional groups in vertex operator algebras associated to basic representations of affine algebras. In: McKay, J. and Sebbar, A. (eds.) Proceedings on Moonshine and Related Topics. Series: CRM proceedings & lecture notes (30). American Mathematical Society: Providence, USA, pp. 1-13. ISBN 9780821828793

Abstract

We investigate the invariant vertex operator subalgebras of the vertex operator algebras associated with the A;D;E series of simply laced root lattices and the related affine algebras. We also discuss certain generalized Casimir operators which may be related to the action of a central extension of the Lie algebra of differential operators on the circle introduced by Kac, Radul et al. One motivation for this work lies in work on elliptic genera by the second author, while work of Dong and Mason provides a more algebraic setting for such calculations.

• Item Type: Book Sections
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Baker, Dr Andrew
• Authors: Baker, A., and Tamanoi, H.
• Subjects: Q Science > QA Mathematics
• College/School: College of Science and Engineering > School of Mathematics and Statistics > Mathematics
• Publisher: American Mathematical Society
• ISBN: 9780821828793