Computing representatives of nilpotent orbits of theta-groups

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de Graaf, Willem A.
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Abstract
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We describe two algorithms for finding representatives of the nilpotent orbits of a theta-group. The algorithms have been implemented in the computer algebra system GAP (inside the package SLA). We comment on their performance. We apply the algorithms to study the nilpotent orbits of theta-groups, where theta is an N-regular automorphism of a simple Lie algebra of exceptional type.
Comment: several additions and corrections
Keywords
Mathematics - Representation Theory, Mathematics - Rings and Algebras, 17B20, 68W30
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