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Some conjectures on modular representations of affine sl2 and Virasoro algebra

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Abstract

We conjecture an explicit bound on the prime characteristic of a field, under which theWeyl modules of affine sl2 and the minimal series modules of Virasoro algebra remain irreducible, and Goddard-Kent-Olive coset construction for affine sl2 is valid.

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Acknowledgements

This work was supported by the National Science Foundation of USA (Grant No. DMS- 1405131). The author thanks Chongying Dong for stimulating discussion on [2] and Chun-Ju Lai from whom the author learned about [5] firsthand; this paper is in uenced by both works.

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  1. Department of Mathematics, University of Virginia, Charlottesville, VA, 22904, USA

    Weiqiang Wang

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  1. Weiqiang Wang
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Correspondence to Weiqiang Wang.

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Wang, W. Some conjectures on modular representations of affine sl2 and Virasoro algebra. Sci. China Math. 61, 385–390 (2018). https://doi.org/10.1007/s11425-016-0564-5

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  • DOI: https://doi.org/10.1007/s11425-016-0564-5

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