Some subalgebras of indefinite type Kac-Moody Lie algebras |
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| Authors: | Sandeep Bhargava Ziting Zeng |
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| Affiliation: | a Department of Mathematics and Statistics, York University, 4700 Keele Street, Toronto, Ontario, Canada, M3J 1P3
b School of Mathematical Sciences, Beijing Normal University, 100875 Beijing, PR China |
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| Abstract: | We show that every Kac-Moody Lie algebra of indefinite type contains a subalgebra with a Dynkin diagram having two adjacent vertices whose edge labels multiply to a number greater than or equal to five. Consequently, every Kac-Moody algebra of indefinite type contains a subalgebra of strictly hyperbolic type, and a free Lie algebra of rank two. |
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| Keywords: | 17B05 17B65 17B67 |
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