Abstract
This is a continuation of Adamović and Milas (2010) [5], where, among other things, we classified irreducible representations of the triplet vertex algebra W 2 , 3 . In this part we extend the classification to W 2 , p , for all odd p > 3 . We also determine the structure of the center of the Zhu algebra A ( W 2 , p ) which implies the existence of a family of logarithmic modules having L ( 0 ) -nilpotent ranks 2 and 3. A logarithmic version of Macdonald–Morris constant term identity plays a key role in the paper.
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