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

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

1999-09-01

arxiv.org/abs/math/9909007v2

Mathematics

Quantum Algebra

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

Scientific paper

The regular representation is related to Zhu's $A(V)$-theory and an induced
module from an $A(V)$-module to a $V$-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.

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