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arXiv · 1802.02929

Kostant's pair of Lie type and conformal embeddings

Drazen Adamovic·Victor G. Kac·Pierluigi Moseneder Frajria·Paolo Papi·Ozren Perse
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Abstract

We deal with some aspects of the theory of conformal embeddings of affine vertex algebras, providing a new proof of the Symmetric Space Theorem and a criterion for conformal embeddings of equal rank subalgebras. We finally study some examples of embeddings at the critical level. We prove a criterion for embeddings at the critical level which enables us to prove equality of certain central elements.

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Drazen Adamovic, Victor G. Kac, Pierluigi Moseneder Frajria, Paolo Papi, Ozren Perse. 2018-02-08. Kostant's pair of Lie type and conformal embeddings. https://doi.org/10.1007/978-3-030-32906-8_1

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