Abstract
First we briefly describe two previously published algorithms: one that constructs a Cartan subalgebra and one that decomposes a semisimple Lie algebra L as a direct sum of simple ideals. Then, by reducing L modulo a prime we derive an algorithm to obtain the type of L (thereby solving the isomorphism problem for semisimple Lie algebras over Q¯ having structure constants in Q).
Original language | English |
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Pages (from-to) | 319-329 |
Number of pages | 11 |
Journal | Journal of Pure and Applied Algebra |
Volume | 117-118 |
DOIs | |
Publication status | Published - 1997 |