({\boldsymbol\pi}\)-systems of symmetrizable Kac-Moody algebras

As part of his classification of regular semisimple subalgebras of semisimple Lie algebras, Dynkin introduced the notion of a \(\pi\)-system. This is a subset of the roots such that pairwise differences of its elements are not roots. These arise as simple systems of regular semisimple subalgebras. M...

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Veröffentlicht in:	arXiv.org 2020-02
Hauptverfasser:	Carbone, Lisa, Raghavan, K N, Ransingh, Biswajit, Roy, Krishanu, Viswanath, Sankaran
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Group theory Lie groups Orbits Roots Set theory
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