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Computing representatives of nilpotent orbits of theta-groups

Authors
  • de Graaf, Willem A.
Type
Preprint
Publication Date
Jul 13, 2009
Submission Date
May 19, 2009
Identifiers
arXiv ID: 0905.3149
Source
arXiv
License
Yellow
External links

Abstract

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.

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