English

The regular representation, Zhu's $A(V)$-theory and induced modules

Quantum Algebra 2007-05-23 v2 High Energy Physics - Theory

Abstract

The regular representation is related to Zhu's A(V)A(V)-theory and an induced module from an A(V)A(V)-module to a VV-module is defined in terms of the regular representation. As an application, a new proof of Frenkel and Zhu's fusion rule theorem is obtained.

Keywords

Cite

@article{arxiv.math/9909007,
  title  = {The regular representation, Zhu's $A(V)$-theory and induced modules},
  author = {Haisheng Li},
  journal= {arXiv preprint arXiv:math/9909007},
  year   = {2007}
}

Comments

Latex, 30 pages; the final version to appear in Journal of Algebra

R2 v1 2026-07-22T18:04:21.827Z