CLASSIFICATION OF IRREDUCIBLE MODULES OF CERTAIN SUBALGEBRAS OF FREE BOSON VERTEX ALGEBRA

@inproceedings{Adamovi2002CLASSIFICATIONOI,
  title={CLASSIFICATION OF IRREDUCIBLE MODULES OF CERTAIN SUBALGEBRAS OF FREE BOSON VERTEX ALGEBRA},
  author={Dra{\vz}en Adamovi{\'c}},
  year={2002}
}
Let M(1) be the vertex algebra for a single free boson. We classify irreducible modules of certain vertex subalgebras of M(1) generated by two generators. These subalgebras correspond to the W(2, 2p−1)–algebras with central charge 1−6 (p−1) 2 p where p is a positive integer, p ≥ 2. We also determine the associated Zhu’s algebras. 

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