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Kostant Pairs of Lie Type and Conformal Embeddings

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

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 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

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

Acknowledgements

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.01.1.1.01.0004).

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Copyright information

© 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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