Kostant Pairs of Lie Type and Conformal Embeddings

  • Dražen Adamović
  • Victor G. Kac
  • Pierluigi Möseneder Frajria
  • Paolo PapiEmail author
  • Ozren Perše
Part of the Springer INdAM Series book series (SINDAMS, volume 37)


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.


Symmetric space theorem Conformal embedding Pair of Lie type Vertex operator algebras 



Dražen Adamović and Ozren Perše are partially supported by the Croatian Science Foundation under the project 2634 and by the QuantiXLie Centre of Excellence, a project cofinanced by the Croatian Government and European Union through the European Regional Development Fund–the Competitiveness and Cohesion Operational Programme (KK.


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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Dražen Adamović
    • 1
  • Victor G. Kac
    • 2
  • Pierluigi Möseneder Frajria
    • 3
  • Paolo Papi
    • 4
    Email author
  • Ozren Perše
    • 1
  1. 1.Department of Mathematics, Faculty of ScienceUniversity of ZagrebZagrebCroatia
  2. 2.Department of MathematicsMITCambridgeUSA
  3. 3.Polo regionale di ComoPolitecnico di MilanoComoItaly
  4. 4.Dipartimento di MatematicaSapienza Università di RomaRomaItaly

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