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 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.
CITATION STYLE
Adamović, D., Kac, V. G., Möseneder Frajria, P., Papi, P., & Perše, O. (2019). Kostant Pairs of Lie Type and Conformal Embeddings. In Springer INdAM Series (Vol. 37, pp. 1–22). Springer. https://doi.org/10.1007/978-3-030-32906-8_1
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