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Extended vertex operator algebras and monomial bases

Boris Feigin·Tetsuji Miwa
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Abstract

We present a vertex operator algebra which is an extension of the level $k$ vertex operator algebra for the $\hat{sl}_2$ conformal field theory. We construct monomial basis of its irreducible representations.

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Boris Feigin, Tetsuji Miwa. 1999-01-17. Extended vertex operator algebras and monomial bases. https://arxiv.org/abs/math/9901067

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