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MAXIMAL CLOSED SUBROOT SYSTEMS OF REAL AFFINE ROOT SYSTEMS

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Abstract

We completely classify and give explicit descriptions of all maximal closed subroot systems of real affine root systems. As an application, we describe a procedure to get the classification of all regular subalgebras of affine Kac–Moody algebras in terms of their root systems.

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Authors and Affiliations

  1. Homi Bhaba National Institute, Mumbai, The Institute of Mathematical Sciences, Chennai, Tamilnadu, 600113, India

    KRISHANU ROY

  2. Department of Mathematics, Indian Institute of Science, Bangalore, Karnataka, 560012, India

    R. VENKATESH

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  1. KRISHANU ROY
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  2. R. VENKATESH
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Correspondence to R. VENKATESH.

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RV is partially funded by the grants DST/INSPIRE/04/2016/000848 and MTR/2017/000347.

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ROY, K., VENKATESH, R. MAXIMAL CLOSED SUBROOT SYSTEMS OF REAL AFFINE ROOT SYSTEMS. Transformation Groups 24, 1261–1308 (2019). https://doi.org/10.1007/s00031-018-9510-9

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  • DOI: https://doi.org/10.1007/s00031-018-9510-9

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