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arxiv: 1707.07981 · v4 · pith:XAY2SANEnew · submitted 2017-07-25 · 🧮 math.RA · math.CO

Maximal closed subroot systems of real affine root systems

classification 🧮 math.RA math.CO
keywords systemsaffinerootclosedmaximalrealsubrootalgebras
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We completely classify and give explicit descriptions of the 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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