Kostant's pair of Lie type and conformal embeddings
Representation Theory
2019-12-05 v1
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.
Keywords
Cite
@article{arxiv.1802.02929,
title = {Kostant's pair of Lie type and conformal embeddings},
author = {Drazen Adamovic and Victor G. Kac and Pierluigi Moseneder Frajria and Paolo Papi and Ozren Perse},
journal= {arXiv preprint arXiv:1802.02929},
year = {2019}
}
Comments
18 pages, Latex file