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On Rationality of W-algebras

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Abstract

We study the problem of classification of triples (\( \mathfrak{g} \); f; k), where g is a simple Lie algebra, f its nilpotent element and k ∈ \( \mathbb{C} \), for which the simple W-algebra W k (\( \mathfrak{g} \); f) is rational.

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Authors and Affiliations

  1. Department of Mathematics, MIT, Cambridge, MA, 02139, USA

    Victor G. Kac & Minoru Wakimoto

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  1. Victor G. Kac
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  2. Minoru Wakimoto
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Correspondence to Victor G. Kac.

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Dedicated to Bertram Kostant on the occasion of his 80th birthday

Supported in part by NSF grant DMS-0501395.

Supported in part by Department of Mathematics MIT, Clay Mathematical Institute, grant-in-aid for scientific research A-14204003, and the twenty-first century COE program at RIMS.

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Kac, V.G., Wakimoto, M. On Rationality of W-algebras. Transformation Groups 13, 671–713 (2008). https://doi.org/10.1007/s00031-008-9028-7

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  • DOI: https://doi.org/10.1007/s00031-008-9028-7

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